Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(9,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.j (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Character | \(\chi\) | \(=\) | 230.9 |
Dual form | 230.2.j.a.179.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.281733 | − | 0.959493i | −0.199215 | − | 0.678464i | ||||
\(3\) | −0.0697998 | + | 0.0604819i | −0.0402990 | + | 0.0349192i | −0.674777 | − | 0.738021i | \(-0.735760\pi\) |
0.634478 | + | 0.772941i | \(0.281215\pi\) | |||||||
\(4\) | −0.841254 | + | 0.540641i | −0.420627 | + | 0.270320i | ||||
\(5\) | −0.948149 | + | 2.02510i | −0.424025 | + | 0.905650i | ||||
\(6\) | 0.0776969 | + | 0.0499327i | 0.0317196 | + | 0.0203850i | ||||
\(7\) | 1.04108 | + | 0.475445i | 0.393491 | + | 0.179701i | 0.602327 | − | 0.798249i | \(-0.294240\pi\) |
−0.208836 | + | 0.977951i | \(0.566968\pi\) | |||||||
\(8\) | 0.755750 | + | 0.654861i | 0.267198 | + | 0.231528i | ||||
\(9\) | −0.425731 | + | 2.96102i | −0.141910 | + | 0.987007i | ||||
\(10\) | 2.21019 | + | 0.339207i | 0.698923 | + | 0.107267i | ||||
\(11\) | 3.69609 | + | 1.08527i | 1.11441 | + | 0.327222i | 0.786564 | − | 0.617508i | \(-0.211858\pi\) |
0.327850 | + | 0.944730i | \(0.393676\pi\) | |||||||
\(12\) | 0.0260204 | − | 0.0886173i | 0.00751144 | − | 0.0255816i | ||||
\(13\) | 1.25102 | − | 0.571322i | 0.346971 | − | 0.158456i | −0.234305 | − | 0.972163i | \(-0.575281\pi\) |
0.581275 | + | 0.813707i | \(0.302554\pi\) | |||||||
\(14\) | 0.162880 | − | 1.13286i | 0.0435315 | − | 0.302769i | ||||
\(15\) | −0.0563010 | − | 0.198697i | −0.0145369 | − | 0.0513034i | ||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | −0.463067 | + | 0.720547i | −0.112310 | + | 0.174758i | −0.892858 | − | 0.450337i | \(-0.851304\pi\) |
0.780548 | + | 0.625096i | \(0.214940\pi\) | |||||||
\(18\) | 2.96102 | − | 0.425731i | 0.697919 | − | 0.100346i | ||||
\(19\) | −0.778520 | + | 0.500325i | −0.178605 | + | 0.114782i | −0.626888 | − | 0.779109i | \(-0.715672\pi\) |
0.448284 | + | 0.893891i | \(0.352035\pi\) | |||||||
\(20\) | −0.297216 | − | 2.21623i | −0.0664595 | − | 0.495563i | ||||
\(21\) | −0.101423 | + | 0.0297805i | −0.0221323 | + | 0.00649863i | ||||
\(22\) | − | 3.85213i | − | 0.821277i | ||||||
\(23\) | 0.229075 | + | 4.79036i | 0.0477655 | + | 0.998859i | ||||
\(24\) | −0.0923584 | −0.0188526 | ||||||||
\(25\) | −3.20203 | − | 3.84018i | −0.640406 | − | 0.768037i | ||||
\(26\) | −0.900632 | − | 1.03939i | −0.176629 | − | 0.203840i | ||||
\(27\) | −0.299170 | − | 0.465518i | −0.0575754 | − | 0.0895890i | ||||
\(28\) | −1.13286 | + | 0.162880i | −0.214090 | + | 0.0307815i | ||||
\(29\) | 0.00469088 | + | 0.00301465i | 0.000871075 | + | 0.000559806i | 0.541076 | − | 0.840974i | \(-0.318017\pi\) |
−0.540205 | + | 0.841533i | \(0.681653\pi\) | |||||||
\(30\) | −0.174787 | + | 0.110000i | −0.0319116 | + | 0.0200831i | ||||
\(31\) | 4.36818 | − | 5.04115i | 0.784548 | − | 0.905416i | −0.212881 | − | 0.977078i | \(-0.568285\pi\) |
0.997429 | + | 0.0716617i | \(0.0228302\pi\) | |||||||
\(32\) | −0.989821 | − | 0.142315i | −0.174977 | − | 0.0251579i | ||||
\(33\) | −0.323626 | + | 0.147795i | −0.0563361 | + | 0.0257278i | ||||
\(34\) | 0.821820 | + | 0.241308i | 0.140941 | + | 0.0413840i | ||||
\(35\) | −1.94992 | + | 1.65749i | −0.329596 | + | 0.280167i | ||||
\(36\) | −1.24270 | − | 2.72114i | −0.207117 | − | 0.453523i | ||||
\(37\) | 1.06862 | + | 0.153645i | 0.175680 | + | 0.0252590i | 0.229593 | − | 0.973287i | \(-0.426260\pi\) |
−0.0539132 | + | 0.998546i | \(0.517169\pi\) | |||||||
\(38\) | 0.699392 | + | 0.606027i | 0.113456 | + | 0.0983105i | ||||
\(39\) | −0.0527664 | + | 0.115542i | −0.00844938 | + | 0.0185016i | ||||
\(40\) | −2.04272 | + | 0.909560i | −0.322982 | + | 0.143814i | ||||
\(41\) | −0.702947 | − | 4.88910i | −0.109782 | − | 0.763549i | −0.968124 | − | 0.250472i | \(-0.919414\pi\) |
0.858342 | − | 0.513078i | \(-0.171495\pi\) | |||||||
\(42\) | 0.0571483 | + | 0.0889245i | 0.00881817 | + | 0.0137213i | ||||
\(43\) | −5.24726 | + | 4.54678i | −0.800200 | + | 0.693377i | −0.955662 | − | 0.294465i | \(-0.904859\pi\) |
0.155462 | + | 0.987842i | \(0.450313\pi\) | |||||||
\(44\) | −3.69609 | + | 1.08527i | −0.557207 | + | 0.163611i | ||||
\(45\) | −5.59270 | − | 3.66963i | −0.833710 | − | 0.547037i | ||||
\(46\) | 4.53178 | − | 1.56940i | 0.668174 | − | 0.231395i | ||||
\(47\) | 7.27641i | 1.06137i | 0.847568 | + | 0.530687i | \(0.178066\pi\) | ||||
−0.847568 | + | 0.530687i | \(0.821934\pi\) | |||||||
\(48\) | 0.0260204 | + | 0.0886173i | 0.00375572 | + | 0.0127908i | ||||
\(49\) | −3.72623 | − | 4.30030i | −0.532318 | − | 0.614328i | ||||
\(50\) | −2.78251 | + | 4.15423i | −0.393507 | + | 0.587497i | ||||
\(51\) | −0.0112580 | − | 0.0783012i | −0.00157644 | − | 0.0109644i | ||||
\(52\) | −0.743545 | + | 1.15698i | −0.103111 | + | 0.160444i | ||||
\(53\) | 0.417802 | + | 0.190804i | 0.0573896 | + | 0.0262089i | 0.443903 | − | 0.896075i | \(-0.353593\pi\) |
−0.386513 | + | 0.922284i | \(0.626321\pi\) | |||||||
\(54\) | −0.362376 | + | 0.418204i | −0.0493131 | + | 0.0569103i | ||||
\(55\) | −5.70223 | + | 6.45595i | −0.768888 | + | 0.870520i | ||||
\(56\) | 0.475445 | + | 1.04108i | 0.0635340 | + | 0.139120i | ||||
\(57\) | 0.0240800 | − | 0.0820090i | 0.00318947 | − | 0.0108624i | ||||
\(58\) | 0.00157096 | − | 0.00535019i | 0.000206277 | − | 0.000702515i | ||||
\(59\) | 0.895090 | + | 1.95997i | 0.116531 | + | 0.255167i | 0.958906 | − | 0.283725i | \(-0.0915704\pi\) |
−0.842375 | + | 0.538892i | \(0.818843\pi\) | |||||||
\(60\) | 0.154787 | + | 0.136716i | 0.0199830 | + | 0.0176500i | ||||
\(61\) | 6.33405 | − | 7.30988i | 0.810992 | − | 0.935934i | −0.187939 | − | 0.982181i | \(-0.560181\pi\) |
0.998930 | + | 0.0462467i | \(0.0147260\pi\) | |||||||
\(62\) | −6.06760 | − | 2.77098i | −0.770586 | − | 0.351915i | ||||
\(63\) | −1.85102 | + | 2.88025i | −0.233207 | + | 0.362877i | ||||
\(64\) | 0.142315 | + | 0.989821i | 0.0177894 | + | 0.123728i | ||||
\(65\) | −0.0291719 | + | 3.07513i | −0.00361832 | + | 0.381423i | ||||
\(66\) | 0.232984 | + | 0.268878i | 0.0286784 | + | 0.0330966i | ||||
\(67\) | −2.18008 | − | 7.42468i | −0.266339 | − | 0.907069i | −0.978707 | − | 0.205262i | \(-0.934195\pi\) |
0.712368 | − | 0.701806i | \(-0.247623\pi\) | |||||||
\(68\) | − | 0.856515i | − | 0.103868i | ||||||
\(69\) | −0.305719 | − | 0.320511i | −0.0368043 | − | 0.0385850i | ||||
\(70\) | 2.13971 | + | 1.40396i | 0.255744 | + | 0.167806i | ||||
\(71\) | 3.45459 | − | 1.01436i | 0.409984 | − | 0.120382i | −0.0702355 | − | 0.997530i | \(-0.522375\pi\) |
0.480220 | + | 0.877148i | \(0.340557\pi\) | |||||||
\(72\) | −2.26080 | + | 1.95900i | −0.266438 | + | 0.230870i | ||||
\(73\) | −7.64561 | − | 11.8968i | −0.894851 | − | 1.39242i | −0.919657 | − | 0.392723i | \(-0.871533\pi\) |
0.0248059 | − | 0.999692i | \(-0.492103\pi\) | |||||||
\(74\) | −0.153645 | − | 1.06862i | −0.0178608 | − | 0.124225i | ||||
\(75\) | 0.455763 | + | 0.0743796i | 0.0526269 | + | 0.00858861i | ||||
\(76\) | 0.384437 | − | 0.841800i | 0.0440979 | − | 0.0965610i | ||||
\(77\) | 3.33194 | + | 2.88714i | 0.379710 | + | 0.329020i | ||||
\(78\) | 0.125728 | + | 0.0180770i | 0.0142359 | + | 0.00204681i | ||||
\(79\) | −0.879284 | − | 1.92536i | −0.0989272 | − | 0.216620i | 0.853697 | − | 0.520770i | \(-0.174355\pi\) |
−0.952624 | + | 0.304150i | \(0.901628\pi\) | |||||||
\(80\) | 1.44822 | + | 1.70372i | 0.161916 | + | 0.190482i | ||||
\(81\) | −8.56185 | − | 2.51398i | −0.951316 | − | 0.279332i | ||||
\(82\) | −4.49301 | + | 2.05189i | −0.496170 | + | 0.226593i | ||||
\(83\) | 10.1835 | + | 1.46416i | 1.11778 | + | 0.160713i | 0.676349 | − | 0.736581i | \(-0.263561\pi\) |
0.441433 | + | 0.897294i | \(0.354470\pi\) | |||||||
\(84\) | 0.0692219 | − | 0.0798863i | 0.00755273 | − | 0.00871631i | ||||
\(85\) | −1.02012 | − | 1.62094i | −0.110647 | − | 0.175816i | ||||
\(86\) | 5.84093 | + | 3.75374i | 0.629843 | + | 0.404776i | ||||
\(87\) | −0.000509755 | 0 | 7.32916e-5i | −5.46514e−5 | 0 | 7.85769e-6i | ||||
\(88\) | 2.08262 | + | 3.24062i | 0.222008 | + | 0.345451i | ||||
\(89\) | −4.67545 | − | 5.39575i | −0.495597 | − | 0.571949i | 0.451756 | − | 0.892142i | \(-0.350798\pi\) |
−0.947352 | + | 0.320193i | \(0.896252\pi\) | |||||||
\(90\) | −1.94534 | + | 6.40001i | −0.205057 | + | 0.674620i | ||||
\(91\) | 1.57404 | 0.165005 | ||||||||
\(92\) | −2.78257 | − | 3.90606i | −0.290103 | − | 0.407235i | ||||
\(93\) | 0.616067i | 0.0638832i | ||||||||
\(94\) | 6.98167 | − | 2.05000i | 0.720104 | − | 0.211442i | ||||
\(95\) | −0.275052 | − | 2.05096i | −0.0282198 | − | 0.210424i | ||||
\(96\) | 0.0776969 | − | 0.0499327i | 0.00792990 | − | 0.00509624i | ||||
\(97\) | 19.0564 | − | 2.73989i | 1.93488 | − | 0.278194i | 0.937348 | − | 0.348395i | \(-0.113273\pi\) |
0.997533 | + | 0.0702015i | \(0.0223642\pi\) | |||||||
\(98\) | −3.07630 | + | 4.78682i | −0.310754 | + | 0.483542i | ||||
\(99\) | −4.78705 | + | 10.4822i | −0.481117 | + | 1.05350i | ||||
\(100\) | 4.76988 | + | 1.49942i | 0.476988 | + | 0.149942i | ||||
\(101\) | −1.46183 | + | 10.1673i | −0.145458 | + | 1.01168i | 0.778077 | + | 0.628169i | \(0.216195\pi\) |
−0.923535 | + | 0.383514i | \(0.874714\pi\) | |||||||
\(102\) | −0.0719577 | + | 0.0328620i | −0.00712488 | + | 0.00325382i | ||||
\(103\) | 4.19683 | − | 14.2931i | 0.413526 | − | 1.40834i | −0.444983 | − | 0.895539i | \(-0.646790\pi\) |
0.858508 | − | 0.512800i | \(-0.171392\pi\) | |||||||
\(104\) | 1.31959 | + | 0.387468i | 0.129397 | + | 0.0379943i | ||||
\(105\) | 0.0358558 | − | 0.233628i | 0.00349916 | − | 0.0227997i | ||||
\(106\) | 0.0653665 | − | 0.454634i | 0.00634896 | − | 0.0441580i | ||||
\(107\) | 13.5230 | + | 11.7177i | 1.30732 | + | 1.13280i | 0.982347 | + | 0.187070i | \(0.0598992\pi\) |
0.324969 | + | 0.945725i | \(0.394646\pi\) | |||||||
\(108\) | 0.503356 | + | 0.229875i | 0.0484355 | + | 0.0221198i | ||||
\(109\) | 11.5072 | + | 7.39525i | 1.10219 | + | 0.708336i | 0.959578 | − | 0.281442i | \(-0.0908128\pi\) |
0.142614 | + | 0.989778i | \(0.454449\pi\) | |||||||
\(110\) | 7.80094 | + | 3.65240i | 0.743790 | + | 0.348242i | ||||
\(111\) | −0.0838823 | + | 0.0539079i | −0.00796176 | + | 0.00511671i | ||||
\(112\) | 0.864960 | − | 0.749492i | 0.0817310 | − | 0.0708203i | ||||
\(113\) | −4.35279 | − | 14.8243i | −0.409476 | − | 1.39455i | −0.863855 | − | 0.503740i | \(-0.831957\pi\) |
0.454379 | − | 0.890809i | \(-0.349861\pi\) | |||||||
\(114\) | −0.0854711 | −0.00800511 | ||||||||
\(115\) | −9.91813 | − | 4.07807i | −0.924871 | − | 0.380282i | ||||
\(116\) | −0.00557606 | −0.000517725 | ||||||||
\(117\) | 1.15910 | + | 3.94753i | 0.107159 | + | 0.364949i | ||||
\(118\) | 1.62840 | − | 1.41102i | 0.149907 | − | 0.129895i | ||||
\(119\) | −0.824670 | + | 0.529983i | −0.0755973 | + | 0.0485835i | ||||
\(120\) | 0.0875695 | − | 0.187035i | 0.00799397 | − | 0.0170739i | ||||
\(121\) | 3.22951 | + | 2.07548i | 0.293592 | + | 0.188680i | ||||
\(122\) | −8.79828 | − | 4.01804i | −0.796559 | − | 0.363776i | ||||
\(123\) | 0.344768 | + | 0.298743i | 0.0310867 | + | 0.0269367i | ||||
\(124\) | −0.949296 | + | 6.60250i | −0.0852493 | + | 0.592922i | ||||
\(125\) | 10.8127 | − | 2.84335i | 0.967121 | − | 0.254317i | ||||
\(126\) | 3.28507 | + | 0.964583i | 0.292657 | + | 0.0859319i | ||||
\(127\) | −0.858846 | + | 2.92496i | −0.0762103 | + | 0.259548i | −0.988781 | − | 0.149370i | \(-0.952276\pi\) |
0.912571 | + | 0.408918i | \(0.134094\pi\) | |||||||
\(128\) | 0.909632 | − | 0.415415i | 0.0804009 | − | 0.0367178i | ||||
\(129\) | 0.0912602 | − | 0.634729i | 0.00803502 | − | 0.0558848i | ||||
\(130\) | 2.95879 | − | 0.838375i | 0.259503 | − | 0.0735304i | ||||
\(131\) | 2.74657 | − | 6.01415i | 0.239969 | − | 0.525459i | −0.750879 | − | 0.660440i | \(-0.770370\pi\) |
0.990848 | + | 0.134981i | \(0.0430972\pi\) | |||||||
\(132\) | 0.192348 | − | 0.299299i | 0.0167417 | − | 0.0260506i | ||||
\(133\) | −1.04838 | + | 0.150734i | −0.0909059 | + | 0.0130703i | ||||
\(134\) | −6.50972 | + | 4.18355i | −0.562355 | + | 0.361403i | ||||
\(135\) | 1.22638 | − | 0.164468i | 0.105550 | − | 0.0141552i | ||||
\(136\) | −0.821820 | + | 0.241308i | −0.0704705 | + | 0.0206920i | ||||
\(137\) | − | 12.2743i | − | 1.04866i | −0.851515 | − | 0.524330i | \(-0.824316\pi\) | ||
0.851515 | − | 0.524330i | \(-0.175684\pi\) | |||||||
\(138\) | −0.221397 | + | 0.383634i | −0.0188466 | + | 0.0326571i | ||||
\(139\) | 16.1706 | 1.37157 | 0.685785 | − | 0.727804i | \(-0.259459\pi\) | ||||
0.685785 | + | 0.727804i | \(0.259459\pi\) | |||||||
\(140\) | 0.744268 | − | 2.44858i | 0.0629022 | − | 0.206943i | ||||
\(141\) | −0.440091 | − | 0.507892i | −0.0370624 | − | 0.0427723i | ||||
\(142\) | −1.94654 | − | 3.02888i | −0.163350 | − | 0.254178i | ||||
\(143\) | 5.24393 | − | 0.753963i | 0.438519 | − | 0.0630495i | ||||
\(144\) | 2.51658 | + | 1.61731i | 0.209715 | + | 0.134776i | ||||
\(145\) | −0.0105526 | + | 0.00664115i | −0.000876346 | + | 0.000551518i | ||||
\(146\) | −9.26088 | + | 10.6876i | −0.766436 | + | 0.884514i | ||||
\(147\) | 0.520180 | + | 0.0747906i | 0.0429037 | + | 0.00616863i | ||||
\(148\) | −0.982048 | + | 0.448486i | −0.0807239 | + | 0.0368654i | ||||
\(149\) | −14.1219 | − | 4.14655i | −1.15691 | − | 0.339699i | −0.353678 | − | 0.935367i | \(-0.615069\pi\) |
−0.803230 | + | 0.595668i | \(0.796887\pi\) | |||||||
\(150\) | −0.0570365 | − | 0.458256i | −0.00465701 | − | 0.0374165i | ||||
\(151\) | 1.73764 | + | 3.80489i | 0.141407 | + | 0.309638i | 0.967064 | − | 0.254535i | \(-0.0819224\pi\) |
−0.825657 | + | 0.564173i | \(0.809195\pi\) | |||||||
\(152\) | −0.916009 | − | 0.131702i | −0.0742982 | − | 0.0106825i | ||||
\(153\) | −1.93641 | − | 1.67791i | −0.156550 | − | 0.135651i | ||||
\(154\) | 1.83148 | − | 4.01037i | 0.147585 | − | 0.323165i | ||||
\(155\) | 6.06712 | + | 13.6257i | 0.487323 | + | 1.09445i | ||||
\(156\) | −0.0180770 | − | 0.125728i | −0.00144731 | − | 0.0100663i | ||||
\(157\) | 1.41025 | + | 2.19439i | 0.112550 | + | 0.175132i | 0.892959 | − | 0.450138i | \(-0.148625\pi\) |
−0.780409 | + | 0.625270i | \(0.784989\pi\) | |||||||
\(158\) | −1.59965 | + | 1.38610i | −0.127261 | + | 0.110273i | ||||
\(159\) | −0.0407027 | + | 0.0119514i | −0.00322794 | + | 0.000947807i | ||||
\(160\) | 1.22670 | − | 1.86955i | 0.0969791 | − | 0.147801i | ||||
\(161\) | −2.03906 | + | 5.09605i | −0.160701 | + | 0.401625i | ||||
\(162\) | 8.92330i | 0.701081i | ||||||||
\(163\) | −0.865221 | − | 2.94667i | −0.0677693 | − | 0.230801i | 0.918643 | − | 0.395088i | \(-0.129286\pi\) |
−0.986413 | + | 0.164287i | \(0.947468\pi\) | |||||||
\(164\) | 3.23460 | + | 3.73293i | 0.252580 | + | 0.291493i | ||||
\(165\) | 0.00754646 | − | 0.795506i | 0.000587491 | − | 0.0619300i | ||||
\(166\) | −1.46416 | − | 10.1835i | −0.113641 | − | 0.790391i | ||||
\(167\) | −7.41220 | + | 11.5336i | −0.573573 | + | 0.892497i | −0.999927 | − | 0.0120592i | \(-0.996161\pi\) |
0.426354 | + | 0.904556i | \(0.359798\pi\) | |||||||
\(168\) | −0.0961524 | − | 0.0439113i | −0.00741832 | − | 0.00338783i | ||||
\(169\) | −7.27455 | + | 8.39527i | −0.559581 | + | 0.645790i | ||||
\(170\) | −1.26788 | + | 1.43547i | −0.0972420 | + | 0.110095i | ||||
\(171\) | −1.15003 | − | 2.51822i | −0.0879451 | − | 0.192573i | ||||
\(172\) | 1.95610 | − | 6.66188i | 0.149152 | − | 0.507963i | ||||
\(173\) | −4.49878 | + | 15.3214i | −0.342036 | + | 1.16487i | 0.591477 | + | 0.806322i | \(0.298545\pi\) |
−0.933513 | + | 0.358545i | \(0.883273\pi\) | |||||||
\(174\) | 0.000213937 | 0 | 0.000468457i | 1.62185e−5 | 0 | 3.55137e-5i | ||||
\(175\) | −1.50777 | − | 5.52032i | −0.113977 | − | 0.417297i | ||||
\(176\) | 2.52261 | − | 2.91125i | 0.190149 | − | 0.219444i | ||||
\(177\) | −0.181020 | − | 0.0826691i | −0.0136063 | − | 0.00621379i | ||||
\(178\) | −3.85996 | + | 6.00622i | −0.289316 | + | 0.450185i | ||||
\(179\) | −3.39154 | − | 23.5887i | −0.253496 | − | 1.76310i | −0.576876 | − | 0.816831i | \(-0.695729\pi\) |
0.323381 | − | 0.946269i | \(-0.395181\pi\) | |||||||
\(180\) | 6.68883 | + | 0.0634527i | 0.498556 | + | 0.00472949i | ||||
\(181\) | −1.14197 | − | 1.31790i | −0.0848820 | − | 0.0979591i | 0.711720 | − | 0.702464i | \(-0.247917\pi\) |
−0.796602 | + | 0.604504i | \(0.793371\pi\) | |||||||
\(182\) | −0.443459 | − | 1.51028i | −0.0328714 | − | 0.111950i | ||||
\(183\) | 0.893324i | 0.0660364i | ||||||||
\(184\) | −2.96389 | + | 3.77032i | −0.218501 | + | 0.277952i | ||||
\(185\) | −1.32436 | + | 2.01838i | −0.0973687 | + | 0.148395i | ||||
\(186\) | 0.591112 | − | 0.173566i | 0.0433424 | − | 0.0127265i | ||||
\(187\) | −2.49353 | + | 2.16065i | −0.182345 | + | 0.158003i | ||||
\(188\) | −3.93393 | − | 6.12131i | −0.286911 | − | 0.446442i | ||||
\(189\) | −0.0901318 | − | 0.626880i | −0.00655612 | − | 0.0455988i | ||||
\(190\) | −1.89039 | + | 0.841733i | −0.137143 | + | 0.0610657i | ||||
\(191\) | −6.27677 | + | 13.7442i | −0.454171 | + | 0.994496i | 0.534607 | + | 0.845101i | \(0.320460\pi\) |
−0.988778 | + | 0.149395i | \(0.952267\pi\) | |||||||
\(192\) | −0.0697998 | − | 0.0604819i | −0.00503737 | − | 0.00436491i | ||||
\(193\) | −23.5131 | − | 3.38067i | −1.69251 | − | 0.243346i | −0.772435 | − | 0.635093i | \(-0.780962\pi\) |
−0.920073 | + | 0.391747i | \(0.871871\pi\) | |||||||
\(194\) | −7.99770 | − | 17.5125i | −0.574202 | − | 1.25733i | ||||
\(195\) | −0.183954 | − | 0.216408i | −0.0131732 | − | 0.0154973i | ||||
\(196\) | 5.45962 | + | 1.60309i | 0.389973 | + | 0.114506i | ||||
\(197\) | −8.75402 | + | 3.99783i | −0.623698 | + | 0.284834i | −0.702089 | − | 0.712089i | \(-0.747749\pi\) |
0.0783906 | + | 0.996923i | \(0.475022\pi\) | |||||||
\(198\) | 11.4062 | + | 1.63997i | 0.810607 | + | 0.116548i | ||||
\(199\) | −3.28145 | + | 3.78700i | −0.232616 | + | 0.268453i | −0.860042 | − | 0.510223i | \(-0.829563\pi\) |
0.627426 | + | 0.778676i | \(0.284108\pi\) | |||||||
\(200\) | 0.0948552 | − | 4.99910i | 0.00670727 | − | 0.353490i | ||||
\(201\) | 0.601228 | + | 0.386386i | 0.0424073 | + | 0.0272535i | ||||
\(202\) | 10.1673 | − | 1.46183i | 0.715367 | − | 0.102854i | ||||
\(203\) | 0.00345028 | + | 0.00536874i | 0.000242162 | + | 0.000376812i | ||||
\(204\) | 0.0518037 | + | 0.0597846i | 0.00362698 | + | 0.00418576i | ||||
\(205\) | 10.5674 | + | 3.21206i | 0.738059 | + | 0.224340i | ||||
\(206\) | −14.8965 | −1.03789 | ||||||||
\(207\) | −14.2819 | − | 1.36110i | −0.992659 | − | 0.0946033i | ||||
\(208\) | − | 1.37530i | − | 0.0953601i | ||||||
\(209\) | −3.42047 | + | 1.00434i | −0.236599 | + | 0.0694717i | ||||
\(210\) | −0.234266 | + | 0.0314171i | −0.0161659 | + | 0.00216799i | ||||
\(211\) | −18.3831 | + | 11.8141i | −1.26555 | + | 0.813317i | −0.989033 | − | 0.147693i | \(-0.952815\pi\) |
−0.276513 | + | 0.961010i | \(0.589179\pi\) | |||||||
\(212\) | −0.454634 | + | 0.0653665i | −0.0312244 | + | 0.00448939i | ||||
\(213\) | −0.179779 | + | 0.279742i | −0.0123183 | + | 0.0191676i | ||||
\(214\) | 7.43321 | − | 16.2765i | 0.508124 | − | 1.11264i | ||||
\(215\) | −4.23248 | − | 14.9372i | −0.288653 | − | 1.01871i | ||||
\(216\) | 0.0787517 | − | 0.547730i | 0.00535838 | − | 0.0372683i | ||||
\(217\) | 6.94440 | − | 3.17140i | 0.471417 | − | 0.215289i | ||||
\(218\) | 3.85373 | − | 13.1246i | 0.261007 | − | 0.888909i | ||||
\(219\) | 1.25320 | + | 0.367974i | 0.0846836 | + | 0.0248654i | ||||
\(220\) | 1.30667 | − | 8.51394i | 0.0880956 | − | 0.574010i | ||||
\(221\) | −0.167642 | + | 1.16598i | −0.0112768 | + | 0.0784322i | ||||
\(222\) | 0.0753566 | + | 0.0652969i | 0.00505761 | + | 0.00438244i | ||||
\(223\) | 18.5392 | + | 8.46657i | 1.24148 | + | 0.566964i | 0.924396 | − | 0.381435i | \(-0.124570\pi\) |
0.317081 | + | 0.948398i | \(0.397297\pi\) | |||||||
\(224\) | −0.962819 | − | 0.618766i | −0.0643311 | − | 0.0413431i | ||||
\(225\) | 12.7341 | − | 7.84639i | 0.848938 | − | 0.523092i | ||||
\(226\) | −12.9974 | + | 8.35295i | −0.864577 | + | 0.555630i | ||||
\(227\) | 2.24627 | − | 1.94640i | 0.149090 | − | 0.129187i | −0.577122 | − | 0.816658i | \(-0.695824\pi\) |
0.726212 | + | 0.687471i | \(0.241279\pi\) | |||||||
\(228\) | 0.0240800 | + | 0.0820090i | 0.00159474 | + | 0.00543118i | ||||
\(229\) | 22.4667 | 1.48464 | 0.742320 | − | 0.670046i | \(-0.233726\pi\) | ||||
0.742320 | + | 0.670046i | \(0.233726\pi\) | |||||||
\(230\) | −1.11862 | + | 10.6653i | −0.0737597 | + | 0.703249i | ||||
\(231\) | −0.407189 | −0.0267910 | ||||||||
\(232\) | 0.00157096 | + | 0.00535019i | 0.000103138 | + | 0.000351257i | ||||
\(233\) | −10.5253 | + | 9.12026i | −0.689538 | + | 0.597488i | −0.927516 | − | 0.373783i | \(-0.878061\pi\) |
0.237979 | + | 0.971270i | \(0.423515\pi\) | |||||||
\(234\) | 3.46107 | − | 2.22429i | 0.226257 | − | 0.145407i | ||||
\(235\) | −14.7354 | − | 6.89912i | −0.961234 | − | 0.450049i | ||||
\(236\) | −1.81264 | − | 1.16491i | −0.117993 | − | 0.0758293i | ||||
\(237\) | 0.177824 | + | 0.0812093i | 0.0115509 | + | 0.00527511i | ||||
\(238\) | 0.740851 | + | 0.641951i | 0.0480222 | + | 0.0416115i | ||||
\(239\) | 1.65603 | − | 11.5180i | 0.107120 | − | 0.745036i | −0.863488 | − | 0.504370i | \(-0.831725\pi\) |
0.970608 | − | 0.240666i | \(-0.0773660\pi\) | |||||||
\(240\) | −0.204130 | − | 0.0313286i | −0.0131765 | − | 0.00202225i | ||||
\(241\) | −17.8128 | − | 5.23031i | −1.14742 | − | 0.336914i | −0.347890 | − | 0.937535i | \(-0.613102\pi\) |
−0.799534 | + | 0.600621i | \(0.794920\pi\) | |||||||
\(242\) | 1.08155 | − | 3.68342i | 0.0695247 | − | 0.236779i | ||||
\(243\) | 2.25974 | − | 1.03199i | 0.144962 | − | 0.0662020i | ||||
\(244\) | −1.37652 | + | 9.57391i | −0.0881227 | + | 0.612907i | ||||
\(245\) | 12.2415 | − | 3.46865i | 0.782083 | − | 0.221604i | ||||
\(246\) | 0.189509 | − | 0.414968i | 0.0120827 | − | 0.0264574i | ||||
\(247\) | −0.688098 | + | 1.07070i | −0.0437826 | + | 0.0681271i | ||||
\(248\) | 6.60250 | − | 0.949296i | 0.419259 | − | 0.0602803i | ||||
\(249\) | −0.799361 | + | 0.513718i | −0.0506574 | + | 0.0325555i | ||||
\(250\) | −5.77447 | − | 9.57369i | −0.365210 | − | 0.605493i | ||||
\(251\) | −6.14302 | + | 1.80375i | −0.387744 | + | 0.113852i | −0.469793 | − | 0.882776i | \(-0.655672\pi\) |
0.0820495 | + | 0.996628i | \(0.473853\pi\) | |||||||
\(252\) | − | 3.42375i | − | 0.215676i | ||||||
\(253\) | −4.35215 | + | 17.9542i | −0.273617 | + | 1.12877i | ||||
\(254\) | 3.04844 | 0.191276 | ||||||||
\(255\) | 0.169242 | + | 0.0514426i | 0.0105983 | + | 0.00322146i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | −6.44307 | − | 10.0256i | −0.401908 | − | 0.625380i | 0.580028 | − | 0.814597i | \(-0.303042\pi\) |
−0.981935 | + | 0.189216i | \(0.939405\pi\) | |||||||
\(258\) | −0.634729 | + | 0.0912602i | −0.0395165 | + | 0.00568161i | ||||
\(259\) | 1.03947 | + | 0.668027i | 0.0645895 | + | 0.0415092i | ||||
\(260\) | −1.63800 | − | 2.60274i | −0.101585 | − | 0.161415i | ||||
\(261\) | −0.0109235 | + | 0.0126064i | −0.000676147 | + | 0.000780315i | ||||
\(262\) | −6.54433 | − | 0.940933i | −0.404310 | − | 0.0581310i | ||||
\(263\) | 8.46647 | − | 3.86651i | 0.522065 | − | 0.238419i | −0.136911 | − | 0.990583i | \(-0.543717\pi\) |
0.658975 | + | 0.752164i | \(0.270990\pi\) | |||||||
\(264\) | −0.341365 | − | 0.100234i | −0.0210096 | − | 0.00616897i | ||||
\(265\) | −0.782535 | + | 0.665179i | −0.0480707 | + | 0.0408616i | ||||
\(266\) | 0.439990 | + | 0.963444i | 0.0269775 | + | 0.0590726i | ||||
\(267\) | 0.652691 | + | 0.0938428i | 0.0399440 | + | 0.00574309i | ||||
\(268\) | 5.84808 | + | 5.06739i | 0.357229 | + | 0.309540i | ||||
\(269\) | 12.2184 | − | 26.7546i | 0.744970 | − | 1.63126i | −0.0302316 | − | 0.999543i | \(-0.509624\pi\) |
0.775202 | − | 0.631714i | \(-0.217648\pi\) | |||||||
\(270\) | −0.503317 | − | 1.13036i | −0.0306309 | − | 0.0687918i | ||||
\(271\) | −2.18178 | − | 15.1746i | −0.132534 | − | 0.921793i | −0.942236 | − | 0.334951i | \(-0.891280\pi\) |
0.809702 | − | 0.586842i | \(-0.199629\pi\) | |||||||
\(272\) | 0.463067 | + | 0.720547i | 0.0280776 | + | 0.0436895i | ||||
\(273\) | −0.109868 | + | 0.0952011i | −0.00664951 | + | 0.00576183i | ||||
\(274\) | −11.7771 | + | 3.45806i | −0.711479 | + | 0.208909i | ||||
\(275\) | −7.66735 | − | 17.6688i | −0.462359 | − | 1.06547i | ||||
\(276\) | 0.430469 | + | 0.104347i | 0.0259112 | + | 0.00628094i | ||||
\(277\) | 18.2644i | 1.09740i | 0.836018 | + | 0.548702i | \(0.184878\pi\) | ||||
−0.836018 | + | 0.548702i | \(0.815122\pi\) | |||||||
\(278\) | −4.55578 | − | 15.5156i | −0.273237 | − | 0.930561i | ||||
\(279\) | 13.0673 | + | 15.0804i | 0.782317 | + | 0.902842i | ||||
\(280\) | −2.55908 | − | 0.0242764i | −0.152934 | − | 0.00145079i | ||||
\(281\) | 3.16822 | + | 22.0354i | 0.189000 | + | 1.31452i | 0.834604 | + | 0.550851i | \(0.185697\pi\) |
−0.645604 | + | 0.763673i | \(0.723394\pi\) | |||||||
\(282\) | −0.363331 | + | 0.565354i | −0.0216361 | + | 0.0336664i | ||||
\(283\) | 17.6388 | + | 8.05536i | 1.04852 | + | 0.478842i | 0.863739 | − | 0.503939i | \(-0.168116\pi\) |
0.184778 | + | 0.982780i | \(0.440844\pi\) | |||||||
\(284\) | −2.35778 | + | 2.72102i | −0.139909 | + | 0.161463i | ||||
\(285\) | 0.143245 | + | 0.126521i | 0.00848508 | + | 0.00749446i | ||||
\(286\) | −2.20081 | − | 4.81910i | −0.130136 | − | 0.284959i | ||||
\(287\) | 1.59267 | − | 5.42415i | 0.0940126 | − | 0.320178i | ||||
\(288\) | 0.842794 | − | 2.87029i | 0.0496621 | − | 0.169134i | ||||
\(289\) | 6.75730 | + | 14.7964i | 0.397488 | + | 0.870378i | ||||
\(290\) | 0.00934515 | + | 0.00825412i | 0.000548766 | + | 0.000484699i | ||||
\(291\) | −1.16442 | + | 1.34381i | −0.0682593 | + | 0.0787755i | ||||
\(292\) | 12.8638 | + | 5.87470i | 0.752796 | + | 0.343791i | ||||
\(293\) | −6.21266 | + | 9.66709i | −0.362948 | + | 0.564757i | −0.973919 | − | 0.226895i | \(-0.927143\pi\) |
0.610972 | + | 0.791652i | \(0.290779\pi\) | |||||||
\(294\) | −0.0747906 | − | 0.520180i | −0.00436188 | − | 0.0303375i | ||||
\(295\) | −4.81781 | − | 0.0457036i | −0.280504 | − | 0.00266096i | ||||
\(296\) | 0.706995 | + | 0.815915i | 0.0410932 | + | 0.0474241i | ||||
\(297\) | −0.600549 | − | 2.04528i | −0.0348474 | − | 0.118679i | ||||
\(298\) | 14.7180i | 0.852594i | ||||||||
\(299\) | 3.02341 | + | 5.86196i | 0.174849 | + | 0.339006i | ||||
\(300\) | −0.423625 | + | 0.183832i | −0.0244580 | + | 0.0106135i | ||||
\(301\) | −7.62456 | + | 2.23877i | −0.439472 | + | 0.129041i | ||||
\(302\) | 3.16122 | − | 2.73921i | 0.181908 | − | 0.157624i | ||||
\(303\) | −0.512901 | − | 0.798089i | −0.0294654 | − | 0.0458490i | ||||
\(304\) | 0.131702 | + | 0.916009i | 0.00755364 | + | 0.0525367i | ||||
\(305\) | 8.79759 | + | 19.7579i | 0.503748 | + | 1.13133i | ||||
\(306\) | −1.06439 | + | 2.33070i | −0.0608473 | + | 0.133237i | ||||
\(307\) | −5.79883 | − | 5.02472i | −0.330957 | − | 0.286776i | 0.473491 | − | 0.880798i | \(-0.342993\pi\) |
−0.804448 | + | 0.594023i | \(0.797539\pi\) | |||||||
\(308\) | −4.36391 | − | 0.627436i | −0.248657 | − | 0.0357515i | ||||
\(309\) | 0.571535 | + | 1.25149i | 0.0325135 | + | 0.0711946i | ||||
\(310\) | 11.3645 | − | 9.66017i | 0.645460 | − | 0.548661i | ||||
\(311\) | 0.619013 | + | 0.181759i | 0.0351010 | + | 0.0103066i | 0.299236 | − | 0.954179i | \(-0.403268\pi\) |
−0.264135 | + | 0.964486i | \(0.585086\pi\) | |||||||
\(312\) | −0.115542 | + | 0.0527664i | −0.00654129 | + | 0.00298731i | ||||
\(313\) | −3.65395 | − | 0.525358i | −0.206533 | − | 0.0296950i | 0.0382716 | − | 0.999267i | \(-0.487815\pi\) |
−0.244805 | + | 0.969572i | \(0.578724\pi\) | |||||||
\(314\) | 1.70819 | − | 1.97136i | 0.0963989 | − | 0.111250i | ||||
\(315\) | −4.07773 | − | 6.47940i | −0.229754 | − | 0.365073i | ||||
\(316\) | 1.78063 | + | 1.14434i | 0.100168 | + | 0.0643743i | ||||
\(317\) | 18.2009 | − | 2.61689i | 1.02226 | − | 0.146979i | 0.389260 | − | 0.921128i | \(-0.372731\pi\) |
0.633004 | + | 0.774148i | \(0.281822\pi\) | |||||||
\(318\) | 0.0229346 | + | 0.0356869i | 0.00128611 | + | 0.00200122i | ||||
\(319\) | 0.0140662 | + | 0.0162333i | 0.000787558 | + | 0.000908890i | ||||
\(320\) | −2.13942 | − | 0.650297i | −0.119597 | − | 0.0363527i | ||||
\(321\) | −1.65261 | −0.0922398 | ||||||||
\(322\) | 5.46410 | + | 0.520744i | 0.304502 | + | 0.0290200i | ||||
\(323\) | − | 0.792644i | − | 0.0441039i | ||||||
\(324\) | 8.56185 | − | 2.51398i | 0.475658 | − | 0.139666i | ||||
\(325\) | −6.19978 | − | 2.97476i | −0.343902 | − | 0.165010i | ||||
\(326\) | −2.58355 | + | 1.66035i | −0.143090 | + | 0.0919581i | ||||
\(327\) | −1.25048 | + | 0.179792i | −0.0691518 | + | 0.00994252i | ||||
\(328\) | 2.67043 | − | 4.15527i | 0.147450 | − | 0.229436i | ||||
\(329\) | −3.45953 | + | 7.57532i | −0.190730 | + | 0.417641i | ||||
\(330\) | −0.765408 | + | 0.216879i | −0.0421343 | + | 0.0119388i | ||||
\(331\) | −4.58706 | + | 31.9037i | −0.252128 | + | 1.75359i | 0.333262 | + | 0.942834i | \(0.391851\pi\) |
−0.585390 | + | 0.810752i | \(0.699058\pi\) | |||||||
\(332\) | −9.35847 | + | 4.27387i | −0.513613 | + | 0.234559i | ||||
\(333\) | −0.909890 | + | 3.09880i | −0.0498617 | + | 0.169813i | ||||
\(334\) | 13.1547 | + | 3.86256i | 0.719792 | + | 0.211350i | ||||
\(335\) | 17.1027 | + | 2.62482i | 0.934422 | + | 0.143409i | ||||
\(336\) | −0.0150434 | + | 0.104629i | −0.000820682 | + | 0.00570797i | ||||
\(337\) | −7.50022 | − | 6.49898i | −0.408563 | − | 0.354022i | 0.426202 | − | 0.904628i | \(-0.359851\pi\) |
−0.834765 | + | 0.550606i | \(0.814397\pi\) | |||||||
\(338\) | 10.1047 | + | 4.61465i | 0.549622 | + | 0.251004i | ||||
\(339\) | 1.20042 | + | 0.771465i | 0.0651981 | + | 0.0419002i | ||||
\(340\) | 1.73453 | + | 0.812104i | 0.0940679 | + | 0.0440425i | ||||
\(341\) | 21.6162 | − | 13.8919i | 1.17058 | − | 0.752288i | ||||
\(342\) | −2.09221 | + | 1.81291i | −0.113134 | + | 0.0980310i | ||||
\(343\) | −4.09186 | − | 13.9356i | −0.220939 | − | 0.752451i | ||||
\(344\) | −6.94312 | −0.374348 | ||||||||
\(345\) | 0.938934 | − | 0.315219i | 0.0505505 | − | 0.0169708i | ||||
\(346\) | 15.9683 | 0.858459 | ||||||||
\(347\) | −0.511743 | − | 1.74284i | −0.0274718 | − | 0.0935604i | 0.944616 | − | 0.328178i | \(-0.106434\pi\) |
−0.972088 | + | 0.234617i | \(0.924616\pi\) | |||||||
\(348\) | 0.000389208 | 0 | 0.000337251i | 2.08638e−5 | 0 | 1.80786e-5i | ||||
\(349\) | −7.67643 | + | 4.93334i | −0.410910 | + | 0.264076i | −0.729724 | − | 0.683741i | \(-0.760352\pi\) |
0.318815 | + | 0.947817i | \(0.396715\pi\) | |||||||
\(350\) | −4.87192 | + | 3.00195i | −0.260415 | + | 0.160461i | ||||
\(351\) | −0.640229 | − | 0.411450i | −0.0341729 | − | 0.0219616i | ||||
\(352\) | −3.50402 | − | 1.60023i | −0.186765 | − | 0.0852927i | ||||
\(353\) | −11.6061 | − | 10.0567i | −0.617730 | − | 0.535266i | 0.288810 | − | 0.957386i | \(-0.406740\pi\) |
−0.906540 | + | 0.422121i | \(0.861286\pi\) | |||||||
\(354\) | −0.0283212 | + | 0.196978i | −0.00150525 | + | 0.0104693i | ||||
\(355\) | −1.22129 | + | 7.95764i | −0.0648194 | + | 0.422348i | ||||
\(356\) | 6.85040 | + | 2.01146i | 0.363071 | + | 0.106607i | ||||
\(357\) | 0.0255074 | − | 0.0868703i | 0.00135000 | − | 0.00459766i | ||||
\(358\) | −21.6777 | + | 9.89986i | −1.14570 | + | 0.523224i | ||||
\(359\) | −0.348942 | + | 2.42695i | −0.0184165 | + | 0.128089i | −0.996956 | − | 0.0779719i | \(-0.975156\pi\) |
0.978539 | + | 0.206061i | \(0.0660646\pi\) | |||||||
\(360\) | −1.82358 | − | 6.43576i | −0.0961110 | − | 0.339194i | ||||
\(361\) | −7.53712 | + | 16.5040i | −0.396690 | + | 0.868631i | ||||
\(362\) | −0.942790 | + | 1.46701i | −0.0495519 | + | 0.0771043i | ||||
\(363\) | −0.350948 | + | 0.0504587i | −0.0184200 | + | 0.00264840i | ||||
\(364\) | −1.32417 | + | 0.850992i | −0.0694053 | + | 0.0446041i | ||||
\(365\) | 31.3413 | − | 4.20316i | 1.64048 | − | 0.220003i | ||||
\(366\) | 0.857138 | − | 0.251678i | 0.0448033 | − | 0.0131554i | ||||
\(367\) | − | 22.7391i | − | 1.18697i | −0.804845 | − | 0.593485i | \(-0.797752\pi\) | ||
0.804845 | − | 0.593485i | \(-0.202248\pi\) | |||||||
\(368\) | 4.45262 | + | 1.78161i | 0.232109 | + | 0.0928729i | ||||
\(369\) | 14.7760 | 0.769208 | ||||||||
\(370\) | 2.30974 | + | 0.702067i | 0.120078 | + | 0.0364987i | ||||
\(371\) | 0.344248 | + | 0.397284i | 0.0178725 | + | 0.0206259i | ||||
\(372\) | −0.333071 | − | 0.518268i | −0.0172689 | − | 0.0268710i | ||||
\(373\) | 34.5081 | − | 4.96151i | 1.78676 | − | 0.256897i | 0.832107 | − | 0.554615i | \(-0.187134\pi\) |
0.954654 | + | 0.297717i | \(0.0962253\pi\) | |||||||
\(374\) | 2.77564 | + | 1.78380i | 0.143525 | + | 0.0922379i | ||||
\(375\) | −0.582757 | + | 0.852440i | −0.0300934 | + | 0.0440198i | ||||
\(376\) | −4.76504 | + | 5.49915i | −0.245738 | + | 0.283597i | ||||
\(377\) | 0.00759072 | + | 0.00109138i | 0.000390942 | + | 5.62090e-5i | ||||
\(378\) | −0.576094 | + | 0.263093i | −0.0296311 | + | 0.0135321i | ||||
\(379\) | −30.1488 | − | 8.85248i | −1.54864 | − | 0.454721i | −0.607945 | − | 0.793979i | \(-0.708006\pi\) |
−0.940693 | + | 0.339258i | \(0.889824\pi\) | |||||||
\(380\) | 1.34022 | + | 1.57667i | 0.0687519 | + | 0.0808816i | ||||
\(381\) | −0.116960 | − | 0.256107i | −0.00599204 | − | 0.0131207i | ||||
\(382\) | 14.9558 | + | 2.15032i | 0.765207 | + | 0.110020i | ||||
\(383\) | 25.2467 | + | 21.8764i | 1.29004 | + | 1.11783i | 0.986280 | + | 0.165083i | \(0.0527893\pi\) |
0.303765 | + | 0.952747i | \(0.401756\pi\) | |||||||
\(384\) | −0.0383671 | + | 0.0840122i | −0.00195791 | + | 0.00428723i | ||||
\(385\) | −9.00591 | + | 4.01006i | −0.458984 | + | 0.204371i | ||||
\(386\) | 3.38067 | + | 23.5131i | 0.172072 | + | 1.19678i | ||||
\(387\) | −11.2292 | − | 17.4730i | −0.570812 | − | 0.888200i | ||||
\(388\) | −14.5499 | + | 12.6076i | −0.738661 | + | 0.640053i | ||||
\(389\) | −7.19341 | + | 2.11218i | −0.364720 | + | 0.107092i | −0.458957 | − | 0.888458i | \(-0.651777\pi\) |
0.0942372 | + | 0.995550i | \(0.469959\pi\) | |||||||
\(390\) | −0.155816 | + | 0.237472i | −0.00789007 | + | 0.0120248i | ||||
\(391\) | −3.55775 | − | 2.05320i | −0.179923 | − | 0.103835i | ||||
\(392\) | − | 5.69011i | − | 0.287394i | ||||||
\(393\) | 0.172037 | + | 0.585905i | 0.00867813 | + | 0.0295550i | ||||
\(394\) | 6.30218 | + | 7.27311i | 0.317499 | + | 0.366414i | ||||
\(395\) | 4.73274 | + | 0.0448965i | 0.238130 | + | 0.00225899i | ||||
\(396\) | −1.63997 | − | 11.4062i | −0.0824116 | − | 0.573185i | ||||
\(397\) | −14.2718 | + | 22.2073i | −0.716279 | + | 1.11455i | 0.272060 | + | 0.962280i | \(0.412295\pi\) |
−0.988339 | + | 0.152271i | \(0.951341\pi\) | |||||||
\(398\) | 4.55809 | + | 2.08161i | 0.228476 | + | 0.104342i | ||||
\(399\) | 0.0640599 | − | 0.0739291i | 0.00320701 | − | 0.00370108i | ||||
\(400\) | −4.82333 | + | 1.31740i | −0.241166 | + | 0.0658698i | ||||
\(401\) | 3.29610 | + | 7.21746i | 0.164600 | + | 0.360423i | 0.973902 | − | 0.226970i | \(-0.0728818\pi\) |
−0.809302 | + | 0.587392i | \(0.800155\pi\) | |||||||
\(402\) | 0.201349 | − | 0.685731i | 0.0100424 | − | 0.0342012i | ||||
\(403\) | 2.58456 | − | 8.80221i | 0.128746 | − | 0.438469i | ||||
\(404\) | −4.26707 | − | 9.34359i | −0.212295 | − | 0.464861i | ||||
\(405\) | 13.2090 | − | 14.9549i | 0.656359 | − | 0.743116i | ||||
\(406\) | 0.00417921 | − | 0.00482307i | 0.000207411 | − | 0.000239365i | ||||
\(407\) | 3.78298 | + | 1.72763i | 0.187515 | + | 0.0856354i | ||||
\(408\) | 0.0427682 | − | 0.0665485i | 0.00211734 | − | 0.00329464i | ||||
\(409\) | −1.73550 | − | 12.0707i | −0.0858150 | − | 0.596856i | −0.986670 | − | 0.162736i | \(-0.947968\pi\) |
0.900855 | − | 0.434121i | \(-0.142941\pi\) | |||||||
\(410\) | 0.104770 | − | 11.0443i | 0.00517423 | − | 0.545438i | ||||
\(411\) | 0.742371 | + | 0.856741i | 0.0366184 | + | 0.0422599i | ||||
\(412\) | 4.19683 | + | 14.2931i | 0.206763 | + | 0.704169i | ||||
\(413\) | 2.46605i | 0.121347i | ||||||||
\(414\) | 2.71770 | + | 14.0868i | 0.133568 | + | 0.692330i | ||||
\(415\) | −12.6205 | + | 19.2343i | −0.619517 | + | 0.944174i | ||||
\(416\) | −1.31959 | + | 0.387468i | −0.0646984 | + | 0.0189972i | ||||
\(417\) | −1.12870 | + | 0.978028i | −0.0552729 | + | 0.0478942i | ||||
\(418\) | 1.92732 | + | 2.99896i | 0.0942681 | + | 0.146684i | ||||
\(419\) | −2.14712 | − | 14.9335i | −0.104894 | − | 0.729550i | −0.972602 | − | 0.232477i | \(-0.925317\pi\) |
0.867708 | − | 0.497074i | \(-0.165592\pi\) | |||||||
\(420\) | 0.0961448 | + | 0.215925i | 0.00469139 | + | 0.0105361i | ||||
\(421\) | 8.54469 | − | 18.7103i | 0.416443 | − | 0.911883i | −0.578892 | − | 0.815404i | \(-0.696515\pi\) |
0.995335 | − | 0.0964786i | \(-0.0307579\pi\) | |||||||
\(422\) | 16.5147 | + | 14.3101i | 0.803923 | + | 0.696603i | ||||
\(423\) | −21.5456 | − | 3.09779i | −1.04758 | − | 0.150620i | ||||
\(424\) | 0.190804 | + | 0.417802i | 0.00926626 | + | 0.0202903i | ||||
\(425\) | 4.24979 | − | 0.528947i | 0.206145 | − | 0.0256577i | ||||
\(426\) | 0.319060 | + | 0.0936846i | 0.0154585 | + | 0.00453903i | ||||
\(427\) | 10.0697 | − | 4.59867i | 0.487306 | − | 0.222545i | ||||
\(428\) | −17.7113 | − | 2.54650i | −0.856109 | − | 0.123090i | ||||
\(429\) | −0.320424 | + | 0.369789i | −0.0154702 | + | 0.0178536i | ||||
\(430\) | −13.1397 | + | 8.26934i | −0.633655 | + | 0.398783i | ||||
\(431\) | −12.7650 | − | 8.20355i | −0.614867 | − | 0.395151i | 0.195812 | − | 0.980641i | \(-0.437266\pi\) |
−0.810679 | + | 0.585490i | \(0.800902\pi\) | |||||||
\(432\) | −0.547730 | + | 0.0787517i | −0.0263527 | + | 0.00378894i | ||||
\(433\) | 1.83241 | + | 2.85128i | 0.0880599 | + | 0.137024i | 0.882489 | − | 0.470333i | \(-0.155866\pi\) |
−0.794429 | + | 0.607357i | \(0.792230\pi\) | |||||||
\(434\) | −4.99940 | − | 5.76962i | −0.239979 | − | 0.276951i | ||||
\(435\) | 0.000334901 | − | 0.00110179i | 1.60573e−5 | − | 5.28269e-5i | ||||
\(436\) | −13.6787 | −0.655089 | ||||||||
\(437\) | −2.57507 | − | 3.61478i | −0.123182 | − | 0.172918i | ||||
\(438\) | − | 1.30611i | − | 0.0624084i | ||||||
\(439\) | −15.2146 | + | 4.46741i | −0.726154 | + | 0.213218i | −0.623860 | − | 0.781536i | \(-0.714436\pi\) |
−0.102294 | + | 0.994754i | \(0.532618\pi\) | |||||||
\(440\) | −8.53720 | + | 1.14492i | −0.406995 | + | 0.0545817i | ||||
\(441\) | 14.3196 | − | 9.20267i | 0.681887 | − | 0.438222i | ||||
\(442\) | 1.16598 | − | 0.167642i | 0.0554599 | − | 0.00797394i | ||||
\(443\) | 16.5079 | − | 25.6868i | 0.784314 | − | 1.22042i | −0.186940 | − | 0.982371i | \(-0.559857\pi\) |
0.971254 | − | 0.238045i | \(-0.0765065\pi\) | |||||||
\(444\) | 0.0414215 | − | 0.0907004i | 0.00196578 | − | 0.00430445i | ||||
\(445\) | 15.3599 | − | 4.35225i | 0.728131 | − | 0.206317i | ||||
\(446\) | 2.90052 | − | 20.1735i | 0.137344 | − | 0.955245i | ||||
\(447\) | 1.23650 | − | 0.564688i | 0.0584842 | − | 0.0267088i | ||||
\(448\) | −0.322444 | + | 1.09815i | −0.0152341 | + | 0.0518825i | ||||
\(449\) | −6.20596 | − | 1.82224i | −0.292878 | − | 0.0859966i | 0.131993 | − | 0.991251i | \(-0.457862\pi\) |
−0.424871 | + | 0.905254i | \(0.639680\pi\) | |||||||
\(450\) | −11.1162 | − | 10.0077i | −0.524021 | − | 0.471766i | ||||
\(451\) | 2.70784 | − | 18.8335i | 0.127507 | − | 0.886833i | ||||
\(452\) | 11.6764 | + | 10.1177i | 0.549212 | + | 0.475895i | ||||
\(453\) | −0.351414 | − | 0.160485i | −0.0165109 | − | 0.00754026i | ||||
\(454\) | −2.50041 | − | 1.60691i | −0.117350 | − | 0.0754162i | ||||
\(455\) | −1.49243 | + | 3.18759i | −0.0699660 | + | 0.149436i | ||||
\(456\) | 0.0719029 | − | 0.0462092i | 0.00336716 | − | 0.00216394i | ||||
\(457\) | 15.0484 | − | 13.0395i | 0.703935 | − | 0.609963i | −0.227540 | − | 0.973769i | \(-0.573068\pi\) |
0.931475 | + | 0.363806i | \(0.118523\pi\) | |||||||
\(458\) | −6.32959 | − | 21.5566i | −0.295762 | − | 1.00727i | ||||
\(459\) | 0.473964 | 0.0221227 | ||||||||
\(460\) | 10.5484 | − | 1.93145i | 0.491823 | − | 0.0900545i | ||||
\(461\) | −13.0285 | −0.606796 | −0.303398 | − | 0.952864i | \(-0.598121\pi\) | ||||
−0.303398 | + | 0.952864i | \(0.598121\pi\) | |||||||
\(462\) | 0.114718 | + | 0.390695i | 0.00533718 | + | 0.0181768i | ||||
\(463\) | 14.3298 | − | 12.4168i | 0.665962 | − | 0.577059i | −0.254891 | − | 0.966970i | \(-0.582040\pi\) |
0.920853 | + | 0.389911i | \(0.127494\pi\) | |||||||
\(464\) | 0.00469088 | − | 0.00301465i | 0.000217769 | − | 0.000139952i | ||||
\(465\) | −1.24759 | − | 0.584123i | −0.0578558 | − | 0.0270881i | ||||
\(466\) | 11.7162 | + | 7.52951i | 0.542740 | + | 0.348798i | ||||
\(467\) | −29.8041 | − | 13.6111i | −1.37917 | − | 0.629846i | −0.418673 | − | 0.908137i | \(-0.637505\pi\) |
−0.960497 | + | 0.278291i | \(0.910232\pi\) | |||||||
\(468\) | −3.10929 | − | 2.69421i | −0.143727 | − | 0.124540i | ||||
\(469\) | 1.26039 | − | 8.76618i | 0.0581993 | − | 0.404785i | ||||
\(470\) | −2.46821 | + | 16.0823i | −0.113850 | + | 0.741819i | ||||
\(471\) | −0.231156 | − | 0.0678737i | −0.0106511 | − | 0.00312745i | ||||
\(472\) | −0.607046 | + | 2.06741i | −0.0279415 | + | 0.0951602i | ||||
\(473\) | −24.3289 | + | 11.1106i | −1.11864 | + | 0.510867i | ||||
\(474\) | 0.0278211 | − | 0.193500i | 0.00127786 | − | 0.00888774i | ||||
\(475\) | 4.41418 | + | 1.38761i | 0.202537 | + | 0.0636678i | ||||
\(476\) | 0.407226 | − | 0.891700i | 0.0186652 | − | 0.0408710i | ||||
\(477\) | −0.742846 | + | 1.15589i | −0.0340126 | + | 0.0529246i | ||||
\(478\) | −11.5180 | + | 1.65603i | −0.526820 | + | 0.0757453i | ||||
\(479\) | 17.9599 | − | 11.5421i | 0.820608 | − | 0.527373i | −0.0616728 | − | 0.998096i | \(-0.519644\pi\) |
0.882281 | + | 0.470724i | \(0.156007\pi\) | |||||||
\(480\) | 0.0274504 | + | 0.204687i | 0.00125293 | + | 0.00934265i | ||||
\(481\) | 1.42465 | − | 0.418314i | 0.0649583 | − | 0.0190735i | ||||
\(482\) | 18.5648i | 0.845604i | ||||||||
\(483\) | −0.165893 | − | 0.479030i | −0.00754837 | − | 0.0217966i | ||||
\(484\) | −3.83893 | −0.174497 | ||||||||
\(485\) | −12.5197 | + | 41.1888i | −0.568491 | + | 1.87029i | ||||
\(486\) | −1.62682 | − | 1.87746i | −0.0737943 | − | 0.0851631i | ||||
\(487\) | −11.3067 | − | 17.5936i | −0.512357 | − | 0.797243i | 0.484638 | − | 0.874715i | \(-0.338951\pi\) |
−0.996995 | + | 0.0774722i | \(0.975315\pi\) | |||||||
\(488\) | 9.57391 | − | 1.37652i | 0.433390 | − | 0.0623121i | ||||
\(489\) | 0.238613 | + | 0.153347i | 0.0107904 | + | 0.00693459i | ||||
\(490\) | −6.77698 | − | 10.7684i | −0.306153 | − | 0.486468i | ||||
\(491\) | 27.0112 | − | 31.1726i | 1.21900 | − | 1.40680i | 0.333118 | − | 0.942885i | \(-0.391899\pi\) |
0.885881 | − | 0.463913i | \(-0.153555\pi\) | |||||||
\(492\) | −0.451550 | − | 0.0649230i | −0.0203574 | − | 0.00292696i | ||||
\(493\) | −0.00434439 | + | 0.00198402i | −0.000195661 | + | 8.93556e-5i | ||||
\(494\) | 1.22119 | + | 0.358574i | 0.0549439 | + | 0.0161330i | ||||
\(495\) | −16.6886 | − | 19.6329i | −0.750096 | − | 0.882433i | ||||
\(496\) | −2.77098 | − | 6.06760i | −0.124421 | − | 0.272443i | ||||
\(497\) | 4.07877 | + | 0.586439i | 0.182958 | + | 0.0263054i | ||||
\(498\) | 0.718115 | + | 0.622250i | 0.0321795 | + | 0.0278837i | ||||
\(499\) | −14.7053 | + | 32.2001i | −0.658300 | + | 1.44148i | 0.225798 | + | 0.974174i | \(0.427501\pi\) |
−0.884098 | + | 0.467301i | \(0.845226\pi\) | |||||||
\(500\) | −7.55903 | + | 8.23778i | −0.338050 | + | 0.368405i | ||||
\(501\) | −0.180204 | − | 1.25335i | −0.00805093 | − | 0.0559954i | ||||
\(502\) | 3.46138 | + | 5.38601i | 0.154489 | + | 0.240389i | ||||
\(503\) | −3.70454 | + | 3.21001i | −0.165177 | + | 0.143127i | −0.733527 | − | 0.679660i | \(-0.762127\pi\) |
0.568350 | + | 0.822787i | \(0.307582\pi\) | |||||||
\(504\) | −3.28507 | + | 0.964583i | −0.146329 | + | 0.0429659i | ||||
\(505\) | −19.2037 | − | 12.6005i | −0.854553 | − | 0.560713i | ||||
\(506\) | 18.4531 | − | 0.882429i | 0.820340 | − | 0.0392288i | ||||
\(507\) | − | 1.02597i | − | 0.0455648i | ||||||
\(508\) | −0.858846 | − | 2.92496i | −0.0381051 | − | 0.129774i | ||||
\(509\) | −6.24616 | − | 7.20845i | −0.276856 | − | 0.319509i | 0.600244 | − | 0.799817i | \(-0.295070\pi\) |
−0.877100 | + | 0.480308i | \(0.840525\pi\) | |||||||
\(510\) | 0.00167794 | − | 0.176879i | 7.43006e−5 | − | 0.00783235i | ||||
\(511\) | −2.30341 | − | 16.0206i | −0.101897 | − | 0.708708i | ||||
\(512\) | −0.540641 | + | 0.841254i | −0.0238932 | + | 0.0371785i | ||||
\(513\) | 0.465821 | + | 0.212733i | 0.0205665 | + | 0.00939240i | ||||
\(514\) | −7.80428 | + | 9.00662i | −0.344232 | + | 0.397265i | ||||
\(515\) | 24.9656 | + | 22.0509i | 1.10012 | + | 0.971680i | ||||
\(516\) | 0.266387 | + | 0.583307i | 0.0117270 | + | 0.0256787i | ||||
\(517\) | −7.89688 | + | 26.8943i | −0.347304 | + | 1.18281i | ||||
\(518\) | 0.348114 | − | 1.18557i | 0.0152953 | − | 0.0520909i | ||||
\(519\) | −0.612655 | − | 1.34153i | −0.0268926 | − | 0.0588865i | ||||
\(520\) | −2.03583 | + | 2.30493i | −0.0892771 | + | 0.101078i | ||||
\(521\) | 15.2873 | − | 17.6425i | 0.669748 | − | 0.772930i | −0.314589 | − | 0.949228i | \(-0.601867\pi\) |
0.984337 | + | 0.176298i | \(0.0564121\pi\) | |||||||
\(522\) | 0.0151732 | + | 0.00692938i | 0.000664114 | + | 0.000303291i | ||||
\(523\) | 2.28976 | − | 3.56293i | 0.100124 | − | 0.155796i | −0.787577 | − | 0.616216i | \(-0.788665\pi\) |
0.887701 | + | 0.460420i | \(0.152301\pi\) | |||||||
\(524\) | 0.940933 | + | 6.54433i | 0.0411049 | + | 0.285891i | ||||
\(525\) | 0.439122 | + | 0.294125i | 0.0191648 | + | 0.0128367i | ||||
\(526\) | −6.09516 | − | 7.03419i | −0.265762 | − | 0.306705i | ||||
\(527\) | 1.60962 | + | 5.48186i | 0.0701162 | + | 0.238794i | ||||
\(528\) | 0.355777i | 0.0154832i | ||||||||
\(529\) | −22.8950 | + | 2.19471i | −0.995437 | + | 0.0954220i | ||||
\(530\) | 0.858700 | + | 0.563434i | 0.0372996 | + | 0.0244740i | ||||
\(531\) | −6.18459 | + | 1.81596i | −0.268388 | + | 0.0788059i | ||||
\(532\) | 0.800458 | − | 0.693601i | 0.0347043 | − | 0.0300714i | ||||
\(533\) | −3.67265 | − | 5.71475i | −0.159080 | − | 0.247533i | ||||
\(534\) | −0.0938428 | − | 0.652691i | −0.00406098 | − | 0.0282447i | ||||
\(535\) | −36.5513 | + | 16.2752i | −1.58025 | + | 0.703637i | ||||
\(536\) | 3.21453 | − | 7.03885i | 0.138847 | − | 0.304032i | ||||
\(537\) | 1.66342 | + | 1.44136i | 0.0717817 | + | 0.0621992i | ||||
\(538\) | −29.1132 | − | 4.18584i | −1.25516 | − | 0.180465i | ||||
\(539\) | −9.10550 | − | 19.9383i | −0.392202 | − | 0.858802i | ||||
\(540\) | −0.942776 | + | 0.801389i | −0.0405706 | + | 0.0344863i | ||||
\(541\) | 19.2376 | + | 5.64867i | 0.827089 | + | 0.242855i | 0.667766 | − | 0.744371i | \(-0.267251\pi\) |
0.159323 | + | 0.987227i | \(0.449069\pi\) | |||||||
\(542\) | −13.9453 | + | 6.36859i | −0.599000 | + | 0.273554i | ||||
\(543\) | 0.159419 | + | 0.0229210i | 0.00684131 | + | 0.000983632i | ||||
\(544\) | 0.560898 | − | 0.647311i | 0.0240483 | − | 0.0277532i | ||||
\(545\) | −25.8867 | + | 16.2914i | −1.10886 | + | 0.697849i | ||||
\(546\) | 0.122298 | + | 0.0785963i | 0.00523388 | + | 0.00336361i | ||||
\(547\) | −5.59151 | + | 0.803938i | −0.239076 | + | 0.0343739i | −0.260811 | − | 0.965390i | \(-0.583990\pi\) |
0.0217354 | + | 0.999764i | \(0.493081\pi\) | |||||||
\(548\) | 6.63597 | + | 10.3258i | 0.283474 | + | 0.441095i | ||||
\(549\) | 18.9481 | + | 21.8673i | 0.808686 | + | 0.933273i | ||||
\(550\) | −14.7929 | + | 12.3346i | −0.630771 | + | 0.525951i | ||||
\(551\) | −0.00516025 | −0.000219834 | ||||||||
\(552\) | −0.0211571 | − | 0.442430i | −0.000900504 | − | 0.0188311i | ||||
\(553\) | − | 2.42251i | − | 0.103015i | ||||||
\(554\) | 17.5246 | − | 5.14569i | 0.744549 | − | 0.218619i | ||||
\(555\) | −0.0296357 | − | 0.220983i | −0.00125797 | − | 0.00938018i | ||||
\(556\) | −13.6036 | + | 8.74248i | −0.576919 | + | 0.370764i | ||||
\(557\) | −34.5963 | + | 4.97419i | −1.46589 | + | 0.210763i | −0.828592 | − | 0.559853i | \(-0.810857\pi\) |
−0.637299 | + | 0.770617i | \(0.719948\pi\) | |||||||
\(558\) | 10.7881 | − | 16.7866i | 0.456696 | − | 0.710634i | ||||
\(559\) | −3.96676 | + | 8.68599i | −0.167776 | + | 0.367378i | ||||
\(560\) | 0.697682 | + | 2.46226i | 0.0294825 | + | 0.104049i | ||||
\(561\) | 0.0433674 | − | 0.301627i | 0.00183097 | − | 0.0127347i | ||||
\(562\) | 20.2503 | − | 9.24798i | 0.854205 | − | 0.390103i | ||||
\(563\) | −4.00533 | + | 13.6409i | −0.168804 | + | 0.574895i | 0.831022 | + | 0.556240i | \(0.187757\pi\) |
−0.999826 | + | 0.0186549i | \(0.994062\pi\) | |||||||
\(564\) | 0.644816 | + | 0.189335i | 0.0271516 | + | 0.00797244i | ||||
\(565\) | 34.1476 | + | 5.24077i | 1.43660 | + | 0.220481i | ||||
\(566\) | 2.75964 | − | 19.1938i | 0.115997 | − | 0.806774i | ||||
\(567\) | −7.71830 | − | 6.68794i | −0.324138 | − | 0.280867i | ||||
\(568\) | 3.27507 | + | 1.49567i | 0.137419 | + | 0.0627571i | ||||
\(569\) | 11.0496 | + | 7.10113i | 0.463222 | + | 0.297695i | 0.751358 | − | 0.659895i | \(-0.229399\pi\) |
−0.288136 | + | 0.957590i | \(0.593035\pi\) | |||||||
\(570\) | 0.0810394 | − | 0.173087i | 0.00339437 | − | 0.00724983i | ||||
\(571\) | 6.97446 | − | 4.48221i | 0.291872 | − | 0.187575i | −0.386508 | − | 0.922286i | \(-0.626319\pi\) |
0.678380 | + | 0.734711i | \(0.262682\pi\) | |||||||
\(572\) | −4.00385 | + | 3.46936i | −0.167409 | + | 0.145061i | ||||
\(573\) | −0.393158 | − | 1.33897i | −0.0164244 | − | 0.0559365i | ||||
\(574\) | −5.65314 | −0.235958 | ||||||||
\(575\) | 17.6624 | − | 16.2185i | 0.736571 | − | 0.676360i | ||||
\(576\) | −2.99147 | −0.124645 | ||||||||
\(577\) | 5.22928 | + | 17.8093i | 0.217698 | + | 0.741410i | 0.993837 | + | 0.110849i | \(0.0353570\pi\) |
−0.776140 | + | 0.630561i | \(0.782825\pi\) | |||||||
\(578\) | 12.2933 | − | 10.6522i | 0.511334 | − | 0.443074i | ||||
\(579\) | 1.84568 | − | 1.18615i | 0.0767038 | − | 0.0492945i | ||||
\(580\) | 0.00528694 | − | 0.0112921i | 0.000219528 | − | 0.000468877i | ||||
\(581\) | 9.90568 | + | 6.36599i | 0.410957 | + | 0.264106i | ||||
\(582\) | 1.61743 | + | 0.738655i | 0.0670446 | + | 0.0306183i | ||||
\(583\) | 1.33716 | + | 1.15866i | 0.0553796 | + | 0.0479867i | ||||
\(584\) | 2.01258 | − | 13.9978i | 0.0832812 | − | 0.579234i | ||||
\(585\) | −9.09312 | − | 1.39556i | −0.375954 | − | 0.0576992i | ||||
\(586\) | 11.0258 | + | 3.23747i | 0.455472 | + | 0.133739i | ||||
\(587\) | −4.20940 | + | 14.3359i | −0.173741 | + | 0.591706i | 0.825872 | + | 0.563858i | \(0.190684\pi\) |
−0.999612 | + | 0.0278477i | \(0.991135\pi\) | |||||||
\(588\) | −0.478038 | + | 0.218313i | −0.0197140 | + | 0.00900307i | ||||
\(589\) | −0.878505 | + | 6.11014i | −0.0361982 | + | 0.251764i | ||||
\(590\) | 1.31348 | + | 4.63553i | 0.0540752 | + | 0.190842i | ||||
\(591\) | 0.369233 | − | 0.808508i | 0.0151882 | − | 0.0332576i | ||||
\(592\) | 0.583682 | − | 0.908226i | 0.0239892 | − | 0.0373279i | ||||
\(593\) | −44.3260 | + | 6.37311i | −1.82025 | + | 0.261712i | −0.966073 | − | 0.258270i | \(-0.916847\pi\) |
−0.854177 | + | 0.519983i | \(0.825938\pi\) | |||||||
\(594\) | −1.79324 | + | 1.15244i | −0.0735775 | + | 0.0472854i | ||||
\(595\) | −0.291357 | − | 2.17254i | −0.0119445 | − | 0.0890654i | ||||
\(596\) | 14.1219 | − | 4.14655i | 0.578454 | − | 0.169849i | ||||
\(597\) | − | 0.462800i | − | 0.0189411i | ||||||
\(598\) | 4.77271 | − | 4.55245i | 0.195171 | − | 0.186163i | ||||
\(599\) | −24.3359 | −0.994336 | −0.497168 | − | 0.867654i | \(-0.665627\pi\) | ||||
−0.497168 | + | 0.867654i | \(0.665627\pi\) | |||||||
\(600\) | 0.295734 | + | 0.354673i | 0.0120733 | + | 0.0144795i | ||||
\(601\) | −17.3309 | − | 20.0009i | −0.706940 | − | 0.815853i | 0.282732 | − | 0.959199i | \(-0.408759\pi\) |
−0.989673 | + | 0.143346i | \(0.954214\pi\) | |||||||
\(602\) | 4.29617 | + | 6.68497i | 0.175099 | + | 0.272459i | ||||
\(603\) | 22.9127 | − | 3.29436i | 0.933079 | − | 0.134157i | ||||
\(604\) | −3.51887 | − | 2.26144i | −0.143181 | − | 0.0920168i | ||||
\(605\) | −7.26510 | + | 4.57220i | −0.295368 | + | 0.185887i | ||||
\(606\) | −0.621260 | + | 0.716972i | −0.0252370 | + | 0.0291250i | ||||
\(607\) | 5.88323 | + | 0.845881i | 0.238793 | + | 0.0343333i | 0.260672 | − | 0.965427i | \(-0.416056\pi\) |
−0.0218792 | + | 0.999761i | \(0.506965\pi\) | |||||||
\(608\) | 0.841800 | − | 0.384437i | 0.0341395 | − | 0.0155910i | ||||
\(609\) | −0.000565541 | 0 | 0.000166058i | −2.29169e−5 | 0 | 6.72900e-6i | ||||
\(610\) | 16.4790 | − | 14.0077i | 0.667215 | − | 0.567154i | ||||
\(611\) | 4.15717 | + | 9.10294i | 0.168181 | + | 0.368266i | ||||
\(612\) | 2.53616 | + | 0.364645i | 0.102518 | + | 0.0147399i | ||||
\(613\) | −14.5319 | − | 12.5920i | −0.586940 | − | 0.508586i | 0.310002 | − | 0.950736i | \(-0.399670\pi\) |
−0.896941 | + | 0.442150i | \(0.854216\pi\) | |||||||
\(614\) | −3.18746 | + | 6.97957i | −0.128635 | + | 0.281672i | ||||
\(615\) | −0.931874 | + | 0.414935i | −0.0375768 | + | 0.0167318i | ||||
\(616\) | 0.627436 | + | 4.36391i | 0.0252801 | + | 0.175827i | ||||
\(617\) | −7.50772 | − | 11.6822i | −0.302250 | − | 0.470310i | 0.656594 | − | 0.754244i | \(-0.271996\pi\) |
−0.958844 | + | 0.283935i | \(0.908360\pi\) | |||||||
\(618\) | 1.03977 | − | 0.900968i | 0.0418258 | − | 0.0362422i | ||||
\(619\) | 38.2748 | − | 11.2385i | 1.53840 | − | 0.451714i | 0.600788 | − | 0.799408i | \(-0.294854\pi\) |
0.937608 | + | 0.347695i | \(0.113035\pi\) | |||||||
\(620\) | −12.4706 | − | 8.18256i | −0.500832 | − | 0.328620i | ||||
\(621\) | 2.16147 | − | 1.53977i | 0.0867367 | − | 0.0617889i | ||||
\(622\) | − | 0.645146i | − | 0.0258680i | ||||||
\(623\) | −2.30213 | − | 7.84032i | −0.0922328 | − | 0.314116i | ||||
\(624\) | 0.0831810 | + | 0.0959960i | 0.00332990 | + | 0.00384291i | ||||
\(625\) | −4.49404 | + | 24.5928i | −0.179762 | + | 0.983710i | ||||
\(626\) | 0.525358 | + | 3.65395i | 0.0209975 | + | 0.146041i | ||||
\(627\) | 0.178004 | − | 0.276980i | 0.00710879 | − | 0.0110615i | ||||
\(628\) | −2.37276 | − | 1.08360i | −0.0946834 | − | 0.0432404i | ||||
\(629\) | −0.605552 | + | 0.698844i | −0.0241449 | + | 0.0278647i | ||||
\(630\) | −5.06811 | + | 5.73801i | −0.201918 | + | 0.228608i | ||||
\(631\) | 15.3213 | + | 33.5491i | 0.609933 | + | 1.33557i | 0.922620 | + | 0.385711i | \(0.126044\pi\) |
−0.312687 | + | 0.949856i | \(0.601229\pi\) | |||||||
\(632\) | 0.596326 | − | 2.03090i | 0.0237206 | − | 0.0807849i | ||||
\(633\) | 0.568599 | − | 1.93647i | 0.0225998 | − | 0.0769678i | ||||
\(634\) | −7.63868 | − | 16.7264i | −0.303371 | − | 0.664289i | ||||
\(635\) | −5.10901 | − | 4.51254i | −0.202745 | − | 0.179075i | ||||
\(636\) | 0.0277799 | − | 0.0320597i | 0.00110154 | − | 0.00127125i | ||||
\(637\) | −7.11844 | − | 3.25088i | −0.282043 | − | 0.128805i | ||||
\(638\) | 0.0116128 | − | 0.0180699i | 0.000459756 | − | 0.000715394i | ||||
\(639\) | 1.53281 | + | 10.6610i | 0.0606372 | + | 0.421741i | ||||
\(640\) | −0.0212112 | + | 2.23597i | −0.000838447 | + | 0.0883844i | ||||
\(641\) | 10.1816 | + | 11.7502i | 0.402148 | + | 0.464103i | 0.920316 | − | 0.391175i | \(-0.127931\pi\) |
−0.518168 | + | 0.855279i | \(0.673386\pi\) | |||||||
\(642\) | 0.465595 | + | 1.58567i | 0.0183756 | + | 0.0625814i | ||||
\(643\) | 28.4579i | 1.12227i | 0.827724 | + | 0.561136i | \(0.189635\pi\) | ||||
−0.827724 | + | 0.561136i | \(0.810365\pi\) | |||||||
\(644\) | −1.03976 | − | 5.38947i | −0.0409724 | − | 0.212375i | ||||
\(645\) | 1.19886 | + | 0.786628i | 0.0472050 | + | 0.0309735i | ||||
\(646\) | −0.760536 | + | 0.223314i | −0.0299229 | + | 0.00878616i | ||||
\(647\) | 24.7703 | − | 21.4636i | 0.973820 | − | 0.843820i | −0.0139238 | − | 0.999903i | \(-0.504432\pi\) |
0.987744 | + | 0.156083i | \(0.0498868\pi\) | |||||||
\(648\) | −4.82430 | − | 7.50676i | −0.189516 | − | 0.294893i | ||||
\(649\) | 1.18123 | + | 8.21566i | 0.0463675 | + | 0.322493i | ||||
\(650\) | −1.10758 | + | 6.78673i | −0.0434429 | + | 0.266198i | ||||
\(651\) | −0.292906 | + | 0.641374i | −0.0114799 | + | 0.0251374i | ||||
\(652\) | 2.32096 | + | 2.01112i | 0.0908959 | + | 0.0787617i | ||||
\(653\) | −14.3223 | − | 2.05924i | −0.560475 | − | 0.0805841i | −0.143745 | − | 0.989615i | \(-0.545915\pi\) |
−0.416729 | + | 0.909031i | \(0.636824\pi\) | |||||||
\(654\) | 0.524811 | + | 1.14917i | 0.0205217 | + | 0.0449363i | ||||
\(655\) | 9.57508 | + | 11.2644i | 0.374129 | + | 0.440136i | ||||
\(656\) | −4.73930 | − | 1.39158i | −0.185038 | − | 0.0543322i | ||||
\(657\) | 38.4816 | − | 17.5740i | 1.50131 | − | 0.685626i | ||||
\(658\) | 8.24313 | + | 1.18518i | 0.321351 | + | 0.0462032i | ||||
\(659\) | −11.7391 | + | 13.5477i | −0.457292 | + | 0.527743i | −0.936833 | − | 0.349776i | \(-0.886258\pi\) |
0.479541 | + | 0.877519i | \(0.340803\pi\) | |||||||
\(660\) | 0.423734 | + | 0.673302i | 0.0164938 | + | 0.0262082i | ||||
\(661\) | 1.44448 | + | 0.928308i | 0.0561836 | + | 0.0361070i | 0.568431 | − | 0.822731i | \(-0.307551\pi\) |
−0.512248 | + | 0.858838i | \(0.671187\pi\) | |||||||
\(662\) | 31.9037 | − | 4.58706i | 1.23997 | − | 0.178281i | ||||
\(663\) | −0.0588192 | − | 0.0915245i | −0.00228435 | − | 0.00355452i | ||||
\(664\) | 6.73734 | + | 7.77530i | 0.261459 | + | 0.301740i | ||||
\(665\) | 0.688767 | − | 2.26598i | 0.0267093 | − | 0.0878711i | ||||
\(666\) | 3.22962 | 0.125145 | ||||||||
\(667\) | −0.0133667 | + | 0.0231616i | −0.000517560 | + | 0.000896820i | ||||
\(668\) | − | 13.7100i | − | 0.530457i | ||||||
\(669\) | −1.80611 | + | 0.530321i | −0.0698282 | + | 0.0205034i | ||||
\(670\) | −2.29989 | − | 17.1494i | −0.0888527 | − | 0.662541i | ||||
\(671\) | 31.3444 | − | 20.1438i | 1.21004 | − | 0.777644i | ||||
\(672\) | 0.104629 | − | 0.0150434i | 0.00403614 | − | 0.000580310i | ||||
\(673\) | 20.2803 | − | 31.5567i | 0.781747 | − | 1.21642i | −0.190321 | − | 0.981722i | \(-0.560953\pi\) |
0.972068 | − | 0.234700i | \(-0.0754109\pi\) | |||||||
\(674\) | −4.12267 | + | 9.02738i | −0.158799 | + | 0.347722i | ||||
\(675\) | −0.829724 | + | 2.63947i | −0.0319361 | + | 0.101593i | ||||
\(676\) | 1.58091 | − | 10.9955i | 0.0608042 | − | 0.422903i | ||||
\(677\) | 4.43279 | − | 2.02439i | 0.170366 | − | 0.0778035i | −0.328407 | − | 0.944536i | \(-0.606512\pi\) |
0.498772 | + | 0.866733i | \(0.333784\pi\) | |||||||
\(678\) | 0.402017 | − | 1.36914i | 0.0154394 | − | 0.0525817i | ||||
\(679\) | 21.1418 | + | 6.20781i | 0.811350 | + | 0.238234i | ||||
\(680\) | 0.290536 | − | 1.89306i | 0.0111415 | − | 0.0725956i | ||||
\(681\) | −0.0390670 | + | 0.271717i | −0.00149705 | + | 0.0104122i | ||||
\(682\) | −19.4192 | − | 16.8268i | −0.743598 | − | 0.644331i | ||||
\(683\) | 27.0727 | + | 12.3637i | 1.03591 | + | 0.473084i | 0.859448 | − | 0.511224i | \(-0.170808\pi\) |
0.176461 | + | 0.984308i | \(0.443535\pi\) | |||||||
\(684\) | 2.32892 | + | 1.49671i | 0.0890485 | + | 0.0572280i | ||||
\(685\) | 24.8566 | + | 11.6378i | 0.949720 | + | 0.444658i | ||||
\(686\) | −12.2183 | + | 7.85221i | −0.466496 | + | 0.299799i | ||||
\(687\) | −1.56817 | + | 1.35883i | −0.0598294 | + | 0.0518425i | ||||
\(688\) | 1.95610 | + | 6.66188i | 0.0745758 | + | 0.253982i | ||||
\(689\) | 0.631689 | 0.0240655 | ||||||||
\(690\) | −0.566978 | − | 0.812093i | −0.0215845 | − | 0.0309158i | ||||
\(691\) | 4.16285 | 0.158362 | 0.0791812 | − | 0.996860i | \(-0.474769\pi\) | ||||
0.0791812 | + | 0.996860i | \(0.474769\pi\) | |||||||
\(692\) | −4.49878 | − | 15.3214i | −0.171018 | − | 0.582433i | ||||
\(693\) | −9.96740 | + | 8.63680i | −0.378630 | + | 0.328085i | ||||
\(694\) | −1.52807 | + | 0.982028i | −0.0580046 | + | 0.0372773i | ||||
\(695\) | −15.3321 | + | 32.7470i | −0.581580 | + | 1.24216i | ||||
\(696\) | −0.000433243 | 0 | 0.000278428i | −1.64220e−5 | 0 | 1.05538e-5i | ||||
\(697\) | 3.84834 | + | 1.75748i | 0.145766 | + | 0.0665691i | ||||
\(698\) | 6.89621 | + | 5.97560i | 0.261025 | + | 0.226180i | ||||
\(699\) | 0.183056 | − | 1.27318i | 0.00692383 | − | 0.0481563i | ||||
\(700\) | 4.25293 | + | 3.82883i | 0.160746 | + | 0.144716i | ||||
\(701\) | 10.5790 | + | 3.10627i | 0.399563 | + | 0.117322i | 0.475339 | − | 0.879802i | \(-0.342325\pi\) |
−0.0757762 | + | 0.997125i | \(0.524143\pi\) | |||||||
\(702\) | −0.214410 | + | 0.730214i | −0.00809239 | + | 0.0275602i | ||||
\(703\) | −0.908816 | + | 0.415042i | −0.0342766 | + | 0.0156536i | ||||
\(704\) | −0.548216 | + | 3.81292i | −0.0206617 | + | 0.143705i | ||||
\(705\) | 1.44580 | − | 0.409670i | 0.0544521 | − | 0.0154290i | ||||
\(706\) | −6.37955 | + | 13.9693i | −0.240098 | + | 0.525740i | ||||
\(707\) | −6.35587 | + | 9.88992i | −0.239037 | + | 0.371949i | ||||
\(708\) | 0.196978 | − | 0.0283212i | 0.00740289 | − | 0.00106437i | ||||
\(709\) | −5.17991 | + | 3.32892i | −0.194535 | + | 0.125020i | −0.634283 | − | 0.773101i | \(-0.718704\pi\) |
0.439747 | + | 0.898122i | \(0.355068\pi\) | |||||||
\(710\) | 7.97937 | − | 1.07011i | 0.299461 | − | 0.0401604i | ||||
\(711\) | 6.07538 | − | 1.78389i | 0.227845 | − | 0.0669012i | ||||
\(712\) | − | 7.13961i | − | 0.267568i | ||||||
\(713\) | 25.1495 | + | 19.7703i | 0.941857 | + | 0.740405i | ||||
\(714\) | −0.0905377 | −0.00338829 | ||||||||
\(715\) | −3.44518 | + | 11.3343i | −0.128842 | + | 0.423880i | ||||
\(716\) | 15.6061 | + | 18.0105i | 0.583229 | + | 0.673082i | ||||
\(717\) | 0.581038 | + | 0.904113i | 0.0216993 | + | 0.0337647i | ||||
\(718\) | 2.42695 | − | 0.348942i | 0.0905729 | − | 0.0130224i | ||||
\(719\) | −18.6063 | − | 11.9575i | −0.693897 | − | 0.445940i | 0.145572 | − | 0.989348i | \(-0.453498\pi\) |
−0.839469 | + | 0.543407i | \(0.817134\pi\) | |||||||
\(720\) | −5.66131 | + | 3.56287i | −0.210984 | + | 0.132780i | ||||
\(721\) | 11.1648 | − | 12.8849i | 0.415799 | − | 0.479857i | ||||
\(722\) | 17.9589 | + | 2.58210i | 0.668361 | + | 0.0960958i | ||||
\(723\) | 1.55967 | − | 0.712278i | 0.0580048 | − | 0.0264899i | ||||
\(724\) | 1.67320 | + | 0.491296i | 0.0621840 | + | 0.0182589i | ||||
\(725\) | −0.00344353 | − | 0.0276668i | −0.000127890 | − | 0.00102752i | ||||
\(726\) | 0.147288 | + | 0.322517i | 0.00546638 | + | 0.0119697i | ||||
\(727\) | −14.0078 | − | 2.01402i | −0.519520 | − | 0.0746957i | −0.122433 | − | 0.992477i | \(-0.539070\pi\) |
−0.397087 | + | 0.917781i | \(0.629979\pi\) | |||||||
\(728\) | 1.18958 | + | 1.03078i | 0.0440888 | + | 0.0382032i | ||||
\(729\) | 11.0253 | − | 24.1421i | 0.408345 | − | 0.894150i | ||||
\(730\) | −12.8628 | − | 28.8876i | −0.476073 | − | 1.06918i | ||||
\(731\) | −0.846331 | − | 5.88636i | −0.0313027 | − | 0.217715i | ||||
\(732\) | −0.482967 | − | 0.751512i | −0.0178510 | − | 0.0277767i | ||||
\(733\) | −7.77249 | + | 6.73490i | −0.287084 | + | 0.248759i | −0.786482 | − | 0.617613i | \(-0.788100\pi\) |
0.499399 | + | 0.866372i | \(0.333554\pi\) | |||||||
\(734\) | −21.8180 | + | 6.40634i | −0.805316 | + | 0.236462i | ||||
\(735\) | −0.644666 | + | 0.982502i | −0.0237789 | + | 0.0362401i | ||||
\(736\) | 0.454995 | − | 4.77420i | 0.0167713 | − | 0.175979i | ||||
\(737\) | − | 29.8083i | − | 1.09800i | ||||||
\(738\) | −4.16288 | − | 14.1775i | −0.153238 | − | 0.521880i | ||||
\(739\) | 29.5389 | + | 34.0897i | 1.08660 | + | 1.25401i | 0.965230 | + | 0.261402i | \(0.0841849\pi\) |
0.121375 | + | 0.992607i | \(0.461270\pi\) | |||||||
\(740\) | 0.0228999 | − | 2.41397i | 0.000841815 | − | 0.0887394i | ||||
\(741\) | −0.0167289 | − | 0.116352i | −0.000614553 | − | 0.00427431i | ||||
\(742\) | 0.284205 | − | 0.442232i | 0.0104335 | − | 0.0162348i | ||||
\(743\) | 35.1049 | + | 16.0319i | 1.28788 | + | 0.588153i | 0.937346 | − | 0.348399i | \(-0.113274\pi\) |
0.350529 | + | 0.936552i | \(0.386002\pi\) | |||||||
\(744\) | −0.403438 | + | 0.465592i | −0.0147908 | + | 0.0170694i | ||||
\(745\) | 21.7868 | − | 24.6666i | 0.798206 | − | 0.903714i | ||||
\(746\) | −14.4826 | − | 31.7125i | −0.530245 | − | 1.16108i | ||||
\(747\) | −8.67084 | + | 29.5302i | −0.317249 | + | 1.08045i | ||||
\(748\) | 0.929551 | − | 3.16576i | 0.0339878 | − | 0.115752i | ||||
\(749\) | 8.50735 | + | 18.6285i | 0.310852 | + | 0.680671i | ||||
\(750\) | 0.982092 | + | 0.318991i | 0.0358609 | + | 0.0116479i | ||||
\(751\) | −17.2821 | + | 19.9446i | −0.630632 | + | 0.727788i | −0.977689 | − | 0.210056i | \(-0.932635\pi\) |
0.347057 | + | 0.937844i | \(0.387181\pi\) | |||||||
\(752\) | 6.61886 | + | 3.02273i | 0.241365 | + | 0.110228i | ||||
\(753\) | 0.319687 | − | 0.497443i | 0.0116501 | − | 0.0181278i | ||||
\(754\) | −0.00109138 | − | 0.00759072i | −3.97458e−5 | − | 0.000276438i | ||||
\(755\) | −9.35281 | − | 0.0887243i | −0.340384 | − | 0.00322901i | ||||
\(756\) | 0.414741 | + | 0.478636i | 0.0150840 | + | 0.0174078i | ||||
\(757\) | 8.31937 | + | 28.3332i | 0.302373 | + | 1.02979i | 0.960823 | + | 0.277162i | \(0.0893940\pi\) |
−0.658451 | + | 0.752624i | \(0.728788\pi\) | |||||||
\(758\) | 31.4216i | 1.14128i | ||||||||
\(759\) | −0.782126 | − | 1.51643i | −0.0283894 | − | 0.0550429i | ||||
\(760\) | 1.13522 | − | 1.73013i | 0.0411789 | − | 0.0627585i | ||||
\(761\) | −35.4871 | + | 10.4200i | −1.28641 | + | 0.377723i | −0.852260 | − | 0.523119i | \(-0.824768\pi\) |
−0.434147 | + | 0.900842i | \(0.642950\pi\) | |||||||
\(762\) | −0.212781 | + | 0.184376i | −0.00770824 | + | 0.00667923i | ||||
\(763\) | 8.46390 | + | 13.1701i | 0.306414 | + | 0.476789i | ||||
\(764\) | −2.15032 | − | 14.9558i | −0.0777960 | − | 0.541083i | ||||
\(765\) | 5.23394 | − | 2.33051i | 0.189233 | − | 0.0842598i | ||||
\(766\) | 13.8774 | − | 30.3873i | 0.501411 | − | 1.09794i | ||||
\(767\) | 2.23955 | + | 1.94058i | 0.0808655 | + | 0.0700703i | ||||
\(768\) | 0.0914184 | + | 0.0131440i | 0.00329878 | + | 0.000474292i | ||||
\(769\) | −4.58637 | − | 10.0427i | −0.165389 | − | 0.362151i | 0.808733 | − | 0.588176i | \(-0.200154\pi\) |
−0.974121 | + | 0.226026i | \(0.927427\pi\) | |||||||
\(770\) | 6.38488 | + | 7.51135i | 0.230095 | + | 0.270690i | ||||
\(771\) | 1.05609 | + | 0.310097i | 0.0380343 | + | 0.0111679i | ||||
\(772\) | 21.6082 | − | 9.86813i | 0.777696 | − | 0.355162i | ||||
\(773\) | −12.4731 | − | 1.79336i | −0.448625 | − | 0.0645026i | −0.0857004 | − | 0.996321i | \(-0.527313\pi\) |
−0.362925 | + | 0.931818i | \(0.618222\pi\) | |||||||
\(774\) | −13.6016 | + | 15.6970i | −0.488898 | + | 0.564218i | ||||
\(775\) | −33.3460 | − | 0.632721i | −1.19782 | − | 0.0227280i | ||||
\(776\) | 16.1961 | + | 10.4086i | 0.581406 | + | 0.373647i | ||||
\(777\) | −0.112958 | + | 0.0162410i | −0.00405236 | + | 0.000582641i | ||||
\(778\) | 4.05324 | + | 6.30696i | 0.145316 | + | 0.226115i | ||||
\(779\) | 2.99339 | + | 3.45456i | 0.107250 | + | 0.123773i | ||||
\(780\) | 0.271751 | + | 0.0826013i | 0.00973024 | + | 0.00295760i | ||||
\(781\) | 13.8693 | 0.496284 | ||||||||
\(782\) | −0.967694 | + | 3.99209i | −0.0346047 | + | 0.142757i | ||||
\(783\) | − | 0.00308559i | − | 0.000110270i | ||||||
\(784\) | −5.45962 | + | 1.60309i | −0.194986 | + | 0.0572532i | ||||
\(785\) | −5.78099 | + | 0.775282i | −0.206332 | + | 0.0276710i | ||||
\(786\) | 0.513703 | − | 0.330137i | 0.0183232 | − | 0.0117756i | ||||
\(787\) | −50.2644 | + | 7.22693i | −1.79173 | + | 0.257612i | −0.956385 | − | 0.292109i | \(-0.905643\pi\) |
−0.835348 | + | 0.549721i | \(0.814734\pi\) | |||||||
\(788\) | 5.20296 | − | 8.09597i | 0.185348 | − | 0.288407i | ||||
\(789\) | −0.357104 | + | 0.781949i | −0.0127133 | + | 0.0278381i | ||||
\(790\) | −1.29029 | − | 4.55368i | −0.0459064 | − | 0.162013i | ||||
\(791\) | 2.51651 | − | 17.5027i | 0.0894769 | − | 0.622326i | ||||
\(792\) | −10.4822 | + | 4.78705i | −0.372468 | + | 0.170100i | ||||
\(793\) | 3.74773 | − | 12.7636i | 0.133086 | − | 0.453248i | ||||
\(794\) | 25.3286 | + | 7.43713i | 0.898877 | + | 0.263934i | ||||
\(795\) | 0.0143895 | − | 0.0937586i | 0.000510343 | − | 0.00332527i | ||||
\(796\) | 0.713127 | − | 4.95991i | 0.0252761 | − | 0.175799i | ||||
\(797\) | −15.3428 | − | 13.2946i | −0.543469 | − | 0.470919i | 0.339331 | − | 0.940667i | \(-0.389799\pi\) |
−0.882800 | + | 0.469748i | \(0.844345\pi\) | |||||||
\(798\) | −0.0889822 | − | 0.0406368i | −0.00314994 | − | 0.00143853i | ||||
\(799\) | −5.24299 | − | 3.36947i | −0.185484 | − | 0.119203i | ||||
\(800\) | 2.62292 | + | 4.25679i | 0.0927342 | + | 0.150500i | ||||
\(801\) | 17.9674 | − | 11.5470i | 0.634848 | − | 0.407992i | ||||
\(802\) | 5.99648 | − | 5.19598i | 0.211743 | − | 0.183477i | ||||
\(803\) | −15.3476 | − | 52.2693i | −0.541606 | − | 1.84454i | ||||
\(804\) | −0.714681 | −0.0252049 | ||||||||
\(805\) | −8.38666 | − | 8.96112i | −0.295591 | − | 0.315838i | ||||
\(806\) | −9.17381 | −0.323134 | ||||||||
\(807\) | 0.765326 | + | 2.60646i | 0.0269407 | + | 0.0917517i | ||||
\(808\) | −7.76293 | + | 6.72662i | −0.273099 | + | 0.236642i | ||||
\(809\) | −11.0408 | + | 7.09548i | −0.388173 | + | 0.249464i | −0.720142 | − | 0.693827i | \(-0.755923\pi\) |
0.331969 | + | 0.943290i | \(0.392287\pi\) | |||||||
\(810\) | −18.0705 | − | 8.46062i | −0.634934 | − | 0.297276i | ||||
\(811\) | −1.87623 | − | 1.20578i | −0.0658835 | − | 0.0423408i | 0.507284 | − | 0.861779i | \(-0.330649\pi\) |
−0.573168 | + | 0.819438i | \(0.694286\pi\) | |||||||
\(812\) | −0.00580512 | − | 0.00265111i | −0.000203720 | − | 9.30357e-5i | ||||
\(813\) | 1.07008 | + | 0.927228i | 0.0375293 | + | 0.0325193i | ||||
\(814\) | 0.591859 | − | 4.11647i | 0.0207447 | − | 0.144282i | ||||
\(815\) | 6.78765 | + | 1.04173i | 0.237761 | + | 0.0364901i | ||||
\(816\) | −0.0759020 | − | 0.0222868i | −0.00265710 | − | 0.000780196i | ||||
\(817\) | 1.81023 | − | 6.16509i | 0.0633321 | − | 0.215689i | ||||
\(818\) | −11.0928 | + | 5.06590i | −0.387850 | + | 0.177125i | ||||
\(819\) | −0.670118 | + | 4.66077i | −0.0234158 | + | 0.162861i | ||||
\(820\) | −10.6264 | + | 3.01101i | −0.371091 | + | 0.105149i | ||||
\(821\) | −2.63898 | + | 5.77857i | −0.0921011 | + | 0.201673i | −0.950076 | − | 0.312018i | \(-0.898995\pi\) |
0.857975 | + | 0.513691i | \(0.171722\pi\) | |||||||
\(822\) | 0.612887 | − | 0.953671i | 0.0213769 | − | 0.0332631i | ||||
\(823\) | −39.8392 | + | 5.72802i | −1.38871 | + | 0.199666i | −0.795779 | − | 0.605588i | \(-0.792938\pi\) |
−0.592930 | + | 0.805254i | \(0.702029\pi\) | |||||||
\(824\) | 12.5317 | − | 8.05365i | 0.436563 | − | 0.280562i | ||||
\(825\) | 1.60382 | + | 0.769540i | 0.0558378 | + | 0.0267919i | ||||
\(826\) | 2.36616 | − | 0.694767i | 0.0823292 | − | 0.0241740i | ||||
\(827\) | − | 2.40620i | − | 0.0836717i | −0.999124 | − | 0.0418358i | \(-0.986679\pi\) | ||
0.999124 | − | 0.0418358i | \(-0.0133206\pi\) | |||||||
\(828\) | 12.7505 | − | 6.57633i | 0.443112 | − | 0.228543i | ||||
\(829\) | 9.27482 | 0.322128 | 0.161064 | − | 0.986944i | \(-0.448507\pi\) | ||||
0.161064 | + | 0.986944i | \(0.448507\pi\) | |||||||
\(830\) | 22.0108 | + | 6.69038i | 0.764005 | + | 0.232227i | ||||
\(831\) | −1.10467 | − | 1.27485i | −0.0383205 | − | 0.0442242i | ||||
\(832\) | 0.743545 | + | 1.15698i | 0.0257778 | + | 0.0401110i | ||||
\(833\) | 4.82406 | − | 0.693595i | 0.167144 | − | 0.0240316i | ||||
\(834\) | 1.25640 | + | 0.807441i | 0.0435057 | + | 0.0279594i | ||||
\(835\) | −16.3288 | − | 25.9460i | −0.565081 | − | 0.897898i | ||||
\(836\) | 2.33450 | − | 2.69415i | 0.0807402 | − | 0.0931792i | ||||
\(837\) | −3.65358 | − | 0.525305i | −0.126286 | − | 0.0181572i | ||||
\(838\) | −13.7237 | + | 6.26740i | −0.474077 | + | 0.216504i | ||||
\(839\) | −38.2396 | − | 11.2282i | −1.32018 | − | 0.387639i | −0.455621 | − | 0.890174i | \(-0.650583\pi\) |
−0.864557 | + | 0.502535i | \(0.832401\pi\) | |||||||
\(840\) | 0.180091 | − | 0.153083i | 0.00621375 | − | 0.00528188i | ||||
\(841\) | −12.0470 | − | 26.3793i | −0.415415 | − | 0.909631i | ||||
\(842\) | −20.3597 | − | 2.92728i | −0.701641 | − | 0.100881i | ||||
\(843\) | −1.55389 | − | 1.34645i | −0.0535187 | − | 0.0463742i | ||||
\(844\) | 9.07768 | − | 19.8773i | 0.312467 | − | 0.684206i | ||||
\(845\) | −10.1039 | − | 22.6916i | −0.347584 | − | 0.780616i | ||||
\(846\) | 3.09779 | + | 21.5456i | 0.106504 | + | 0.740753i | ||||
\(847\) | 2.37540 | + | 3.69619i | 0.0816197 | + | 0.127003i | ||||
\(848\) | 0.347123 | − | 0.300783i | 0.0119202 | − | 0.0103289i | ||||
\(849\) | −1.71839 | + | 0.504564i | −0.0589749 | + | 0.0173166i | ||||
\(850\) | −1.70482 | − | 3.92862i | −0.0584750 | − | 0.134750i | ||||
\(851\) | −0.491217 | + | 5.15428i | −0.0168387 | + | 0.176686i | ||||
\(852\) | − | 0.332530i | − | 0.0113923i | ||||||
\(853\) | −6.09719 | − | 20.7651i | −0.208764 | − | 0.710984i | −0.995590 | − | 0.0938097i | \(-0.970095\pi\) |
0.786826 | − | 0.617174i | \(-0.211723\pi\) | |||||||
\(854\) | −7.24935 | − | 8.36620i | −0.248068 | − | 0.286285i | ||||
\(855\) | 6.19003 | + | 0.0587210i | 0.211695 | + | 0.00200821i | ||||
\(856\) | 2.54650 | + | 17.7113i | 0.0870377 | + | 0.605361i | ||||
\(857\) | 18.8802 | − | 29.3781i | 0.644934 | − | 1.00354i | −0.352763 | − | 0.935713i | \(-0.614758\pi\) |
0.997697 | − | 0.0678248i | \(-0.0216059\pi\) | |||||||
\(858\) | 0.445084 | + | 0.203263i | 0.0151949 | + | 0.00693929i | ||||
\(859\) | −11.1462 | + | 12.8634i | −0.380303 | + | 0.438893i | −0.913339 | − | 0.407199i | \(-0.866505\pi\) |
0.533036 | + | 0.846092i | \(0.321051\pi\) | |||||||
\(860\) | 11.6363 | + | 10.2777i | 0.396793 | + | 0.350468i | ||||
\(861\) | 0.216895 | + | 0.474933i | 0.00739175 | + | 0.0161857i | ||||
\(862\) | −4.27494 | + | 14.5591i | −0.145605 | + | 0.495885i | ||||
\(863\) | −9.67164 | + | 32.9386i | −0.329227 | + | 1.12124i | 0.614059 | + | 0.789260i | \(0.289536\pi\) |
−0.943286 | + | 0.331983i | \(0.892282\pi\) | |||||||
\(864\) | 0.229875 | + | 0.503356i | 0.00782051 | + | 0.0171245i | ||||
\(865\) | −26.7618 | − | 23.6374i | −0.909930 | − | 0.803697i | ||||
\(866\) | 2.21954 | − | 2.56148i | 0.0754229 | − | 0.0870427i | ||||
\(867\) | −1.36657 | − | 0.624094i | −0.0464113 | − | 0.0211953i | ||||
\(868\) | −4.12741 | + | 6.42238i | −0.140094 | + | 0.217990i | ||||
\(869\) | −1.16038 | − | 8.07059i | −0.0393630 | − | 0.273776i | ||||
\(870\) | −0.00115152 | 1.09237e-5i | −3.90400e−5 | 3.70348e-7i | ||||||
\(871\) | −6.96920 | − | 8.04289i | −0.236143 | − | 0.272523i | ||||
\(872\) | 3.85373 | + | 13.1246i | 0.130504 | + | 0.444455i | ||||
\(873\) | 57.5927i | 1.94922i | ||||||||
\(874\) | −2.74287 | + | 3.48917i | −0.0927790 | + | 0.118023i | ||||
\(875\) | 12.6088 | + | 2.18071i | 0.426254 | + | 0.0737216i | ||||
\(876\) | −1.25320 | + | 0.367974i | −0.0423418 | + | 0.0124327i | ||||
\(877\) | −20.6077 | + | 17.8566i | −0.695871 | + | 0.602976i | −0.929268 | − | 0.369406i | \(-0.879561\pi\) |
0.233397 | + | 0.972382i | \(0.425016\pi\) | |||||||
\(878\) | 8.57291 | + | 13.3397i | 0.289322 | + | 0.450193i | ||||
\(879\) | −0.151041 | − | 1.05052i | −0.00509450 | − | 0.0354330i | ||||
\(880\) | 3.50375 | + | 7.86882i | 0.118111 | + | 0.265258i | ||||
\(881\) | −14.0150 | + | 30.6886i | −0.472178 | + | 1.03393i | 0.512363 | + | 0.858769i | \(0.328770\pi\) |
−0.984541 | + | 0.175156i | \(0.943957\pi\) | |||||||
\(882\) | −12.8642 | − | 11.1469i | −0.433160 | − | 0.375336i | ||||
\(883\) | 17.7979 | + | 2.55896i | 0.598948 | + | 0.0861158i | 0.435119 | − | 0.900373i | \(-0.356706\pi\) |
0.163829 | + | 0.986489i | \(0.447615\pi\) | |||||||
\(884\) | −0.489346 | − | 1.07152i | −0.0164585 | − | 0.0360390i | ||||
\(885\) | 0.339047 | − | 0.288200i | 0.0113969 | − | 0.00968775i | ||||
\(886\) | −29.2971 | − | 8.60241i | −0.984255 | − | 0.289003i | ||||
\(887\) | −19.1629 | + | 8.75141i | −0.643427 | + | 0.293843i | −0.710280 | − | 0.703919i | \(-0.751432\pi\) |
0.0668524 | + | 0.997763i | \(0.478704\pi\) | |||||||
\(888\) | −0.0986962 | − | 0.0141904i | −0.00331203 | − | 0.000476198i | ||||
\(889\) | −2.28478 | + | 2.63678i | −0.0766292 | + | 0.0884348i | ||||
\(890\) | −8.50335 | − | 13.5116i | −0.285033 | − | 0.452909i | ||||
\(891\) | −28.9170 | − | 18.5838i | −0.968757 | − | 0.622582i | ||||
\(892\) | −20.1735 | + | 2.90052i | −0.675460 | + | 0.0971165i | ||||
\(893\) | −3.64057 | − | 5.66483i | −0.121827 | − | 0.189566i | ||||
\(894\) | −0.890176 | − | 1.02732i | −0.0297719 | − | 0.0343586i | ||||
\(895\) | 50.9850 | + | 15.4974i | 1.70424 | + | 0.518020i | ||||
\(896\) | 1.14451 | 0.0382352 | ||||||||
\(897\) | −0.565576 | − | 0.226302i | −0.0188840 | − | 0.00755600i | ||||
\(898\) | 6.46796i | 0.215839i | ||||||||
\(899\) | 0.0356879 | − | 0.0104789i | 0.00119026 | − | 0.000349491i | ||||
\(900\) | −6.47050 | + | 13.4854i | −0.215683 | + | 0.449512i | ||||
\(901\) | −0.330954 | + | 0.212691i | −0.0110257 | + | 0.00708576i | ||||
\(902\) | −18.8335 | + | 2.70784i | −0.627086 | + | 0.0901613i | ||||
\(903\) | 0.396788 | − | 0.617414i | 0.0132043 | − | 0.0205462i | ||||
\(904\) | 6.41820 | − | 14.0539i | 0.213466 | − | 0.467426i | ||||
\(905\) | 3.75164 | − | 1.06303i | 0.124709 | − | 0.0353363i | ||||
\(906\) | −0.0549798 | + | 0.382393i | −0.00182658 | + | 0.0127042i | ||||
\(907\) | 11.5674 | − | 5.28265i | 0.384089 | − | 0.175408i | −0.214007 | − | 0.976832i | \(-0.568651\pi\) |
0.598096 | + | 0.801425i | \(0.295924\pi\) | |||||||
\(908\) | −0.837376 | + | 2.85184i | −0.0277893 | + | 0.0946417i | ||||
\(909\) | −29.4832 | − | 8.65704i | −0.977896 | − | 0.287136i | ||||
\(910\) | 3.47893 | + | 0.533926i | 0.115326 | + | 0.0176995i | ||||
\(911\) | −5.54472 | + | 38.5644i | −0.183705 | + | 1.27770i | 0.664203 | + | 0.747552i | \(0.268771\pi\) |
−0.847908 | + | 0.530143i | \(0.822138\pi\) | |||||||
\(912\) | −0.0645948 | − | 0.0559717i | −0.00213895 | − | 0.00185341i | ||||
\(913\) | 36.0501 | + | 16.4635i | 1.19308 | + | 0.544863i | ||||
\(914\) | −16.7509 | − | 10.7652i | −0.554072 | − | 0.356081i | ||||
\(915\) | −1.80907 | − | 0.847004i | −0.0598059 | − | 0.0280011i | ||||
\(916\) | −18.9002 | + | 12.1464i | −0.624479 | + | 0.401328i | ||||
\(917\) | 5.71879 | − | 4.95536i | 0.188851 | − | 0.163641i | ||||
\(918\) | −0.133531 | − | 0.454765i | −0.00440718 | − | 0.0150095i | ||||
\(919\) | 39.1217 | 1.29050 | 0.645252 | − | 0.763970i | \(-0.276752\pi\) | ||||
0.645252 | + | 0.763970i | \(0.276752\pi\) | |||||||
\(920\) | −4.82505 | − | 9.57700i | −0.159077 | − | 0.315744i | ||||
\(921\) | 0.708662 | 0.0233512 | ||||||||
\(922\) | 3.67054 | + | 12.5007i | 0.120883 | + | 0.411689i | ||||
\(923\) | 3.74224 | − | 3.24267i | 0.123177 | − | 0.106734i | ||||
\(924\) | 0.342549 | − | 0.220143i | 0.0112690 | − | 0.00724217i | ||||
\(925\) | −2.83173 | − | 4.59568i | −0.0931068 | − | 0.151105i | ||||
\(926\) | −15.9510 | − | 10.2511i | −0.524183 | − | 0.336872i | ||||
\(927\) | 40.5354 | + | 18.5119i | 1.33136 | + | 0.608010i | ||||
\(928\) | −0.00421411 | − | 0.00365155i | −0.000138335 | − | 0.000119868i | ||||
\(929\) | 7.65577 | − | 53.2471i | 0.251178 | − | 1.74698i | −0.339988 | − | 0.940430i | \(-0.610423\pi\) |
0.591166 | − | 0.806550i | \(-0.298668\pi\) | |||||||
\(930\) | −0.208974 | + | 1.36162i | −0.00685253 | + | 0.0446494i | ||||
\(931\) | 5.05249 | + | 1.48354i | 0.165589 | + | 0.0486212i | ||||
\(932\) | 3.92369 | − | 13.3629i | 0.128525 | − | 0.437716i | ||||
\(933\) | −0.0542002 | + | 0.0247524i | −0.00177443 | + | 0.000810357i | ||||
\(934\) | −4.66295 | + | 32.4315i | −0.152576 | + | 1.06119i | ||||
\(935\) | −2.01130 | − | 7.09826i | −0.0657764 | − | 0.232138i | ||||
\(936\) | −1.70909 | + | 3.74239i | −0.0558634 | + | 0.122324i | ||||
\(937\) | 22.2862 | − | 34.6781i | 0.728060 | − | 1.13288i | −0.257944 | − | 0.966160i | \(-0.583045\pi\) |
0.986004 | − | 0.166723i | \(-0.0533187\pi\) | |||||||
\(938\) | −8.76618 | + | 1.26039i | −0.286226 | + | 0.0411531i | ||||
\(939\) | 0.286820 | − | 0.184328i | 0.00936000 | − | 0.00601531i | ||||
\(940\) | 16.1262 | − | 2.16267i | 0.525978 | − | 0.0705384i | ||||
\(941\) | −51.8062 | + | 15.2117i | −1.68883 | + | 0.495887i | −0.978198 | − | 0.207673i | \(-0.933411\pi\) |
−0.710636 | + | 0.703559i | \(0.751593\pi\) | |||||||
\(942\) | 0.240915i | 0.00784944i | ||||||||
\(943\) | 23.2595 | − | 4.48734i | 0.757434 | − | 0.146128i | ||||
\(944\) | 2.15469 | 0.0701291 | ||||||||
\(945\) | 1.35495 | + | 0.411850i | 0.0440766 | + | 0.0133975i | ||||
\(946\) | 17.5148 | + | 20.2132i | 0.569455 | + | 0.657186i | ||||
\(947\) | 23.1085 | + | 35.9576i | 0.750927 | + | 1.16847i | 0.980757 | + | 0.195234i | \(0.0625467\pi\) |
−0.229830 | + | 0.973231i | \(0.573817\pi\) | |||||||
\(948\) | −0.193500 | + | 0.0278211i | −0.00628458 | + | 0.000903586i | ||||
\(949\) | −16.3617 | − | 10.5150i | −0.531124 | − | 0.341332i | ||||
\(950\) | 0.0877817 | − | 4.62631i | 0.00284801 | − | 0.150097i | ||||
\(951\) | −1.11214 | + | 1.28348i | −0.0360638 | + | 0.0416198i | ||||
\(952\) | −0.970309 | − | 0.139509i | −0.0314479 | − | 0.00452152i | ||||
\(953\) | −39.6359 | + | 18.1011i | −1.28393 | + | 0.586353i | −0.936275 | − | 0.351269i | \(-0.885750\pi\) |
−0.347658 | + | 0.937621i | \(0.613023\pi\) | |||||||
\(954\) | 1.31835 | + | 0.387103i | 0.0426832 | + | 0.0125329i | ||||
\(955\) | −21.8820 | − | 25.7426i | −0.708086 | − | 0.833011i | ||||
\(956\) | 4.83394 | + | 10.5849i | 0.156341 | + | 0.342339i | ||||
\(957\) | −0.00196364 | 0.000282329i | −6.34755e−5 | 9.12640e-6i | ||||||
\(958\) | −16.1345 | − | 13.9806i | −0.521281 | − | 0.451692i | ||||
\(959\) | 5.83573 | − | 12.7785i | 0.188446 | − | 0.412638i | ||||
\(960\) | 0.188662 | − | 0.0840055i | 0.00608905 | − | 0.00271127i | ||||
\(961\) | −1.92041 | − | 13.3568i | −0.0619488 | − | 0.430863i | ||||
\(962\) | −0.802739 | − | 1.24909i | −0.0258814 | − | 0.0402722i | ||||
\(963\) | −40.4536 | + | 35.0532i | −1.30360 | + | 1.12957i | ||||
\(964\) | 17.8128 | − | 5.23031i | 0.573712 | − | 0.168457i | ||||
\(965\) | 29.1401 | − | 44.4109i | 0.938052 | − | 1.42964i | ||||
\(966\) | −0.412889 | + | 0.294131i | −0.0132845 | + | 0.00946352i | ||||
\(967\) | 25.3908i | 0.816512i | 0.912867 | + | 0.408256i | \(0.133863\pi\) | ||||
−0.912867 | + | 0.408256i | \(0.866137\pi\) | |||||||
\(968\) | 1.08155 | + | 3.68342i | 0.0347623 | + | 0.118390i | ||||
\(969\) | 0.0479406 | + | 0.0553264i | 0.00154007 | + | 0.00177734i | ||||
\(970\) | 43.0476 | + | 0.408365i | 1.38217 | + | 0.0131118i | ||||
\(971\) | −1.58233 | − | 11.0053i | −0.0507793 | − | 0.353178i | −0.999332 | − | 0.0365572i | \(-0.988361\pi\) |
0.948552 | − | 0.316621i | \(-0.102548\pi\) | |||||||
\(972\) | −1.34308 | + | 2.08987i | −0.0430792 | + | 0.0670325i | ||||
\(973\) | 16.8349 | + | 7.68822i | 0.539701 | + | 0.246473i | ||||
\(974\) | −13.6955 | + | 15.8054i | −0.438831 | + | 0.506438i | ||||
\(975\) | 0.612663 | − | 0.167337i | 0.0196209 | − | 0.00535907i | ||||
\(976\) | −4.01804 | − | 8.79828i | −0.128614 | − | 0.281626i | ||||
\(977\) | 6.14059 | − | 20.9129i | 0.196455 | − | 0.669064i | −0.801059 | − | 0.598586i | \(-0.795729\pi\) |
0.997513 | − | 0.0704776i | \(-0.0224523\pi\) | |||||||
\(978\) | 0.0799105 | − | 0.272150i | 0.00255525 | − | 0.00870240i | ||||
\(979\) | −11.4250 | − | 25.0173i | −0.365146 | − | 0.799558i | ||||
\(980\) | −8.42294 | + | 9.53628i | −0.269061 | + | 0.304625i | ||||
\(981\) | −26.7965 | + | 30.9248i | −0.855545 | + | 0.987352i | ||||
\(982\) | −37.5198 | − | 17.1347i | −1.19731 | − | 0.546791i | ||||
\(983\) | 12.6370 | − | 19.6636i | 0.403058 | − | 0.627171i | −0.579093 | − | 0.815261i | \(-0.696593\pi\) |
0.982152 | + | 0.188090i | \(0.0602297\pi\) | |||||||
\(984\) | 0.0649230 | + | 0.451550i | 0.00206967 | + | 0.0143949i | ||||
\(985\) | 0.204130 | − | 21.5183i | 0.00650414 | − | 0.685629i | ||||
\(986\) | 0.00312760 | + | 0.00360945i | 9.96032e−5 | + | 0.000114948i | ||||
\(987\) | −0.216695 | − | 0.737995i | −0.00689748 | − | 0.0234907i | ||||
\(988\) | − | 1.27275i | − | 0.0404914i | ||||||
\(989\) | −22.9827 | − | 24.0947i | −0.730808 | − | 0.766167i | ||||
\(990\) | −14.1359 | + | 21.5438i | −0.449269 | + | 0.684707i | ||||
\(991\) | 43.0587 | − | 12.6432i | 1.36780 | − | 0.401624i | 0.486297 | − | 0.873794i | \(-0.338347\pi\) |
0.881508 | + | 0.472170i | \(0.156529\pi\) | |||||||
\(992\) | −5.04115 | + | 4.36818i | −0.160057 | + | 0.138690i | ||||
\(993\) | −1.60942 | − | 2.50431i | −0.0510734 | − | 0.0794718i | ||||
\(994\) | −0.586439 | − | 4.07877i | −0.0186007 | − | 0.129371i | ||||
\(995\) | −4.55773 | − | 10.2359i | −0.144490 | − | 0.324499i | ||||
\(996\) | 0.394728 | − | 0.864334i | 0.0125074 | − | 0.0273875i | ||||
\(997\) | −24.2432 | − | 21.0068i | −0.767789 | − | 0.665293i | 0.180188 | − | 0.983632i | \(-0.442330\pi\) |
−0.947977 | + | 0.318339i | \(0.896875\pi\) | |||||||
\(998\) | 35.0388 | + | 5.03781i | 1.10913 | + | 0.159469i | ||||
\(999\) | −0.248176 | − | 0.543429i | −0.00785193 | − | 0.0171933i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 230.2.j.a.9.3 | ✓ | 120 | |
5.4 | even | 2 | inner | 230.2.j.a.9.10 | yes | 120 | |
23.18 | even | 11 | inner | 230.2.j.a.179.10 | yes | 120 | |
115.64 | even | 22 | inner | 230.2.j.a.179.3 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.j.a.9.3 | ✓ | 120 | 1.1 | even | 1 | trivial | |
230.2.j.a.9.10 | yes | 120 | 5.4 | even | 2 | inner | |
230.2.j.a.179.3 | yes | 120 | 115.64 | even | 22 | inner | |
230.2.j.a.179.10 | yes | 120 | 23.18 | even | 11 | inner |